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374499904 = 26412592
BaseRepresentation
bin10110010100100…
…110101001000000
3222002200120021211
4112110212221000
51231332444104
6101054455504
712165124312
oct2624465100
9862616254
10374499904
11182439359
12a5504594
135c78389c
1437a477b2
1522d27e04
hex16526a40

374499904 has 63 divisors (see below), whose sum is σ = 774845161. Its totient is φ = 179586560.

The previous prime is 374499889. The next prime is 374499907. The reversal of 374499904 is 409994473.

The square root of 374499904 is 19352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18045504 + 356454400 = 4248^2 + 18880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (374499907) 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 8 ways as a sum of consecutive naturals, for example, 6347427 + ... + 6347485.

Almost surely, 2374499904 is an apocalyptic number.

374499904 is the 19352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374499904

374499904 is an abundant number, since it is smaller than the sum of its proper divisors (400345257).

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

374499904 is an frugal number, since it uses more digits than its factorization.

374499904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The cubic root of 374499904 is about 720.8040811084.

Multiplying 374499904 by its sum of digits (49), we get a square (18350495296 = 1354642).

The spelling of 374499904 in words is "three hundred seventy-four million, four hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 41 59 64 82 118 164 236 328 472 656 944 1312 1681 1888 2419 2624 3362 3481 3776 4838 6724 6962 9676 13448 13924 19352 26896 27848 38704 53792 55696 77408 99179 107584 111392 142721 154816 198358 222784 285442 396716 570884 793432 1141768 1586864 2283536 3173728 4567072 5851561 6347456 9134144 11703122 23406244 46812488 93624976 187249952 374499904