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354495904 = 25710914519
BaseRepresentation
bin10101001000010…
…010110110100000
3220201001020221221
4111020102312200
51211222332104
655102024424
711533110520
oct2510226640
9821036857
10354495904
11172116024
129a878114
135859b6b9
143511b680
15211c5c54
hex15212da0

354495904 has 48 divisors (see below), whose sum is σ = 804988800. Its totient is φ = 150522624.

The previous prime is 354495887. The next prime is 354495907. The reversal of 354495904 is 409594453.

It is not an unprimeable number, because it can be changed into a prime (354495907) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17157 + ... + 31675.

It is an arithmetic number, because the mean of its divisors is an integer number (16770600).

Almost surely, 2354495904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354495904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402494400).

354495904 is an abundant number, since it is smaller than the sum of its proper divisors (450492896).

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

354495904 is a wasteful number, since it uses less digits than its factorization.

354495904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14645 (or 14637 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The square root of 354495904 is about 18828.0616102667. The cubic root of 354495904 is about 707.7345659318.

The spelling of 354495904 in words is "three hundred fifty-four million, four hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 763 872 1526 1744 3052 3488 6104 12208 14519 24416 29038 58076 101633 116152 203266 232304 406532 464608 813064 1582571 1626128 3165142 3252256 6330284 11077997 12660568 22155994 25321136 44311988 50642272 88623976 177247952 354495904