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674670432 = 253173711173
BaseRepresentation
bin101000001101101…
…010011101100000
31202000111210211210
4220031222131200
52340203423212
6150540310120
722501414122
oct5015523540
91660453753
10674670432
11316919977
12169b42340
13a9a11197
1465863212
153e36c53c
hex2836a760

674670432 has 96 divisors (see below), whose sum is σ = 1926040032. Its totient is φ = 205922304.

The previous prime is 674670427. The next prime is 674670439. The reversal of 674670432 is 234076476.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674670439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54798 + ... + 65970.

It is an arithmetic number, because the mean of its divisors is an integer number (20062917).

Almost surely, 2674670432 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 674670432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963020016).

674670432 is an abundant number, since it is smaller than the sum of its proper divisors (1251369600).

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

674670432 is a wasteful number, since it uses less digits than its factorization.

674670432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11240 (or 11232 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 674670432 is about 25974.4188000425. The cubic root of 674670432 is about 877.0625333815.

The spelling of 674670432 in words is "six hundred seventy-four million, six hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 68 74 96 102 111 136 148 204 222 272 296 408 444 544 592 629 816 888 1184 1258 1632 1776 1887 2516 3552 3774 5032 7548 10064 11173 15096 20128 22346 30192 33519 44692 60384 67038 89384 134076 178768 189941 268152 357536 379882 413401 536304 569823 759764 826802 1072608 1139646 1240203 1519528 1653604 2279292 2480406 3039056 3307208 4558584 4960812 6078112 6614416 7027817 9117168 9921624 13228832 14055634 18234336 19843248 21083451 28111268 39686496 42166902 56222536 84333804 112445072 168667608 224890144 337335216 674670432