Search a number
-
+
346420656 = 24325634273
BaseRepresentation
bin10100101001011…
…111010110110000
3220010211222210200
4110221133112300
51202140430111
654212555200
711404345521
oct2451372660
9803758720
10346420656
111685aaa6a
1298022b00
1356a01c4a
1434018848
152062d256
hex14a5f5b0

346420656 has 60 divisors (see below), whose sum is σ = 971446008. Its totient is φ = 115241472.

The previous prime is 346420643. The next prime is 346420661. The reversal of 346420656 is 656024643.

346420656 is a `hidden beast` number, since 3 + 4 + 642 + 0 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 346420656.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78936 + ... + 83208.

Almost surely, 2346420656 is an apocalyptic number.

346420656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

346420656 is an abundant number, since it is smaller than the sum of its proper divisors (625025352).

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

346420656 is a wasteful number, since it uses less digits than its factorization.

346420656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 346420656 is about 18612.3791063905. The cubic root of 346420656 is about 702.3192839865.

The spelling of 346420656 in words is "three hundred forty-six million, four hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 563 1126 1689 2252 3378 4273 4504 5067 6756 8546 9008 10134 12819 13512 17092 20268 25638 27024 34184 38457 40536 51276 68368 76914 81072 102552 153828 205104 307656 615312 2405699 4811398 7217097 9622796 14434194 19245592 21651291 28868388 38491184 43302582 57736776 86605164 115473552 173210328 346420656