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342930352401 = 337131163120011
BaseRepresentation
bin1001111110110000011…
…11011110100100010001
31012210011101221220001000
410333120033132210101
521104310132234101
6421312351332213
733530063620530
oct4773017364421
91183141856030
10342930352401
1112248827548a
1256566821069
132645201b3b0
1412852986317
158dc157d486
hex4fd83de911

342930352401 has 64 divisors (see below), whose sum is σ = 625828976640. Its totient is φ = 180729299520.

The previous prime is 342930352399. The next prime is 342930352421. The reversal of 342930352401 is 104253039243.

342930352401 is a `hidden beast` number, since 3 + 42 + 93 + 0 + 3 + 524 + 0 + 1 = 666.

It is not a de Polignac number, because 342930352401 - 21 = 342930352399 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (342930352421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2797486 + ... + 2917496.

It is an arithmetic number, because the mean of its divisors is an integer number (9778577760).

Almost surely, 2342930352401 is an apocalyptic number.

It is an amenable number.

342930352401 is a deficient number, since it is larger than the sum of its proper divisors (282898624239).

342930352401 is a wasteful number, since it uses less digits than its factorization.

342930352401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121203 (or 121197 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 342930352401 in words is "three hundred forty-two billion, nine hundred thirty million, three hundred fifty-two thousand, four hundred one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 1163 2457 3489 8141 10467 15119 24423 31401 45357 73269 105833 120011 136071 219807 317499 360033 408213 840077 952497 1080099 1560143 2520231 2857491 3240297 4680429 7560693 10921001 14041287 22682079 32763003 42123861 98289009 139572793 294867027 418718379 977009551 1256155137 1814446309 2931028653 3768465411 5443338927 8793085959 12701124163 16330016781 26379257877 38103372489 48990050343 114310117467 342930352401