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74466304 = 210112601
BaseRepresentation
bin1000111000001…
…00010000000000
312012010021120021
410130010100000
5123030410204
611220023224
71562644633
oct434042000
9165107507
1074466304
1139041700
1220b31b14
1312573703
149c65c1a
15680e154
hex4704400

74466304 has 66 divisors (see below), whose sum is σ = 163895102. Its totient is φ = 33792000.

The previous prime is 74466289. The next prime is 74466313. The reversal of 74466304 is 40366447.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 3097600 = 8448^2 + 1760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 74466304.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123604 + ... + 124204.

Almost surely, 274466304 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 74466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81947551).

74466304 is an abundant number, since it is smaller than the sum of its proper divisors (89428798).

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

74466304 is a wasteful number, since it uses less digits than its factorization.

74466304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 74466304 is about 8629.3860731804. The cubic root of 74466304 is about 420.7136468798.

The spelling of 74466304 in words is "seventy-four million, four hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 601 704 968 1024 1202 1408 1936 2404 2816 3872 4808 5632 6611 7744 9616 11264 13222 15488 19232 26444 30976 38464 52888 61952 72721 76928 105776 123904 145442 153856 211552 290884 307712 423104 581768 615424 846208 1163536 1692416 2327072 3384832 4654144 6769664 9308288 18616576 37233152 74466304