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45374304 = 253598011
BaseRepresentation
bin1010110100010…
…1101101100000
310011101020211210
42231011231200
543103434204
64300310120
71060450413
oct255055540
9104336753
1045374304
1123681428
1213242340
139528b01
146051b7a
153eb4389
hex2b45b60

45374304 has 48 divisors (see below), whose sum is σ = 121141440. Its totient is φ = 14866560.

The previous prime is 45374291. The next prime is 45374311. The reversal of 45374304 is 40347354.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1659 + ... + 9669.

It is an arithmetic number, because the mean of its divisors is an integer number (2523780).

Almost surely, 245374304 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 45374304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60570720).

45374304 is an abundant number, since it is smaller than the sum of its proper divisors (75767136).

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

45374304 is a wasteful number, since it uses less digits than its factorization.

45374304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8083 (or 8075 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 45374304 is about 6736.0451304901. The cubic root of 45374304 is about 356.6728008184.

The spelling of 45374304 in words is "forty-five million, three hundred seventy-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 8011 16022 24033 32044 48066 64088 96132 128176 192264 256352 384528 472649 769056 945298 1417947 1890596 2835894 3781192 5671788 7562384 11343576 15124768 22687152 45374304