Search a number
-
+
354083904 = 2632614729
BaseRepresentation
bin10101000110101…
…110010001000000
3220200021022210200
4111012232101000
51211121141104
655045125200
711526443406
oct2506562100
9820238720
10354083904
11171964529
129a6b9800
1358486005
1435051476
1521143b39
hex151ae440

354083904 has 42 divisors (see below), whose sum is σ = 1014919230. Its totient is φ = 118027776.

The previous prime is 354083897. The next prime is 354083923. The reversal of 354083904 is 409380453.

It can be written as a sum of positive squares in only one way, i.e., 322274304 + 31809600 = 17952^2 + 5640^2 .

It is a super-2 number, since 2×3540839042 = 250750822143762432, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 306789 + ... + 307940.

Almost surely, 2354083904 is an apocalyptic number.

It is an amenable number.

354083904 is an abundant number, since it is smaller than the sum of its proper divisors (660835326).

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

354083904 is a wasteful number, since it uses less digits than its factorization.

354083904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614747 (or 614734 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 354083904 is about 18817.1173137651. The cubic root of 354083904 is about 707.4602800394.

The spelling of 354083904 in words is "three hundred fifty-four million, eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 614729 1229458 1844187 2458916 3688374 4917832 5532561 7376748 9835664 11065122 14753496 19671328 22130244 29506992 39342656 44260488 59013984 88520976 118027968 177041952 354083904