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340843783501312 = 297138300988129
BaseRepresentation
bin100110101111111101110000…
…0101000111011011000000000
31122200211100101022101122201221
41031133323200220323120000
5324133341032034020222
63204525250021204424
7131536102461131530
oct11537734050733000
91580740338348657
10340843783501312
1199670045009913
1232289985560714
131182557a80a070
146024cda11d4c0
1529611e05b20c7
hex135fee0a3b600

340843783501312 has 160 divisors (see below), whose sum is σ = 838200354868800. Its totient is φ = 134836144570368.

The previous prime is 340843783501261. The next prime is 340843783501337. The reversal of 340843783501312 is 213105387348043.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 340843783501312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3867511264 + ... + 3867599392.

It is an arithmetic number, because the mean of its divisors is an integer number (5238752217930).

Almost surely, 2340843783501312 is an apocalyptic number.

340843783501312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340843783501312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419100177434400).

340843783501312 is an abundant number, since it is smaller than the sum of its proper divisors (497356571367488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340843783501312 is an equidigital number, since it uses as much as digits as its factorization.

340843783501312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171176 (or 171160 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 340843783501312 in words is "three hundred forty trillion, eight hundred forty-three billion, seven hundred eighty-three million, five hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1456 1664 1792 2912 3328 3584 5824 6656 11648 23296 46592 83009 88129 166018 176258 332036 352516 581063 616903 664072 705032 1079117 1145677 1162126 1233806 1328144 1410064 2158234 2291354 2324252 2467612 2656288 2820128 4316468 4582708 4648504 4935224 5312576 5640256 7553819 8019739 8632936 9165416 9297008 9870448 10625152 11280512 15107638 16039478 17265872 18330832 18594016 19740896 21250304 22561024 30215276 32078956 34531744 36661664 37188032 39481792 42500608 45122048 60430552 64157912 69063488 73323328 74376064 78963584 120861104 128315824 138126976 146646656 148752128 157927168 241722208 256631648 276253952 293293312 297504256 315854336 483444416 513263296 552507904 586586624 966888832 1026526592 1933777664 2053053184 3867555328 4106106368 7315500161 14631000322 29262000644 51208501127 58524001288 95101502093 102417002254 117048002576 190203004186 204834004508 234096005152 380406008372 409668009016 468192010304 665710514651 760812016744 819336018032 936384020608 1331421029302 1521624033488 1638672036064 1872768041216 2662842058604 3043248066976 3277344072128 3745536082432 5325684117208 6086496133952 6554688144256 10651368234416 12172992267904 13109376288512 21302736468832 24345984535808 26218752577024 42605472937664 48691969071616 85210945875328 170421891750656 340843783501312