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340165360020 = 223517536292367
BaseRepresentation
bin1001111001100110110…
…11110111100110010100
31012112000201010201112210
410330303123313212110
521033124313010040
6420134140113420
733401420565333
oct4746333674624
91175021121483
10340165360020
11121299528812
1255b14835870
132610122a525
141266d675d1a
158cad95b480
hex4f336f7994

340165360020 has 96 divisors (see below), whose sum is σ = 1027518524928. Its totient is φ = 83763976192.

The previous prime is 340165359983. The next prime is 340165360027. The reversal of 340165360020 is 20063561043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 340165360020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340165360027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3092124 + ... + 3200243.

It is an arithmetic number, because the mean of its divisors is an integer number (10703317968).

Almost surely, 2340165360020 is an apocalyptic number.

340165360020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340165360020 is an abundant number, since it is smaller than the sum of its proper divisors (687353164908).

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

340165360020 is a wasteful number, since it uses less digits than its factorization.

340165360020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292449 (or 6292447 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 340165360020 in words is "three hundred forty billion, one hundred sixty-five million, three hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 53 60 68 85 102 106 159 170 204 212 255 265 318 340 510 530 636 795 901 1020 1060 1590 1802 2703 3180 3604 4505 5406 9010 10812 13515 18020 27030 54060 6292367 12584734 18877101 25169468 31461835 37754202 62923670 75508404 94385505 106970239 125847340 188771010 213940478 320910717 333495451 377542020 427880956 534851195 641821434 666990902 1000486353 1069702390 1283642868 1333981804 1604553585 1667477255 2000972706 2139404780 3209107170 3334954510 4001945412 5002431765 5669422667 6418214340 6669909020 10004863530 11338845334 17008268001 20009727060 22677690668 28347113335 34016536002 56694226670 68033072004 85041340005 113388453340 170082680010 340165360020