Search a number
-
+
342435245256 = 233213915739953
BaseRepresentation
bin1001111101110101011…
…10110010110011001000
31012201212220022211201100
410332322232302303020
521102301410322011
6421151303421400
733511602362466
oct4767256626310
91181786284640
10342435245256
11122253850125
1256448a54860
13263a358a3a0
1412806d05836
158d92d7ed56
hex4fbabb2cc8

342435245256 has 96 divisors (see below), whose sum is σ = 998903538360. Its totient is φ = 105350547456.

The previous prime is 342435245227. The next prime is 342435245263. The reversal of 342435245256 is 652542534243.

342435245256 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 352 + 45 + 256 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 211922122500 + 130513122756 = 460350^2 + 361266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8550976 + ... + 8590928.

Almost surely, 2342435245256 is an apocalyptic number.

342435245256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

342435245256 is an abundant number, since it is smaller than the sum of its proper divisors (656468293104).

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

342435245256 is a wasteful number, since it uses less digits than its factorization.

342435245256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49135 (or 49128 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 45.

Adding to 342435245256 its reverse (652542534243), we get a palindrome (994977779499).

The spelling of 342435245256 in words is "three hundred forty-two billion, four hundred thirty-five million, two hundred forty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 9157 18314 27471 36628 39953 54942 73256 79906 82413 109884 119041 119859 159812 164826 219768 238082 239718 319624 329652 357123 359577 476164 479436 519389 659304 714246 719154 952328 958872 1038778 1071369 1428492 1438308 1558167 2077556 2142738 2856984 2876616 3116334 4155112 4285476 4674501 6232668 8570952 9349002 12465336 18698004 37396008 365849621 731699242 1097548863 1463398484 2195097726 2926796968 3292646589 4390195452 4756045073 6585293178 8780390904 9512090146 13170586356 14268135219 19024180292 26341172712 28536270438 38048360584 42804405657 57072540876 85608811314 114145081752 171217622628 342435245256