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342491532512 = 251723110932
BaseRepresentation
bin1001111101111100001…
…01100000110011100000
31012202000211020112022112
410332332011200303200
521102410313020022
6421201034054452
733513154664333
oct4767605406340
91182024215275
10342491532512
111222825a5618
125646387a428
13263b213745c
141281059861a
158d97c9c8e2
hex4fbe160ce0

342491532512 has 108 divisors (see below), whose sum is σ = 740059691616. Its totient is φ = 155830671360.

The previous prime is 342491532479. The next prime is 342491532521. The reversal of 342491532512 is 215235194243.

It is a self number, because there is not a number n which added to its sum of digits gives 342491532512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 313349438 + ... + 313350530.

It is an arithmetic number, because the mean of its divisors is an integer number (6852404552).

Almost surely, 2342491532512 is an apocalyptic number.

342491532512 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 342491532512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370029845808).

342491532512 is an abundant number, since it is smaller than the sum of its proper divisors (397568159104).

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

342491532512 is an equidigital number, since it uses as much as digits as its factorization.

342491532512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 1143 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

The spelling of 342491532512 in words is "three hundred forty-two billion, four hundred ninety-one million, five hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 289 496 527 544 578 992 1054 1093 1156 2108 2186 2312 4216 4372 4624 8432 8744 8959 9248 16864 17488 17918 18581 33883 34976 35836 37162 67766 71672 74324 135532 143344 148648 271064 286688 297296 315877 542128 576011 594592 631754 1084256 1152022 1194649 1263508 2304044 2389298 2527016 4608088 4778596 5054032 9216176 9557192 9792187 10108064 18432352 19114384 19584374 20309033 37034119 38228768 39168748 40618066 74068238 78337496 81236132 148136476 156674992 162472264 296272952 313349984 324944528 345253561 592545904 629580023 649889056 690507122 1185091808 1259160046 1381014244 2518320092 2762028488 5036640184 5524056976 10073280368 10702860391 11048113952 20146560736 21405720782 42811441564 85622883128 171245766256 342491532512