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45064344 = 23313433359
BaseRepresentation
bin1010101111101…
…0000010011000
310010210111122210
42223322002120
543014024334
64245515120
71055016633
oct253720230
9103714583
1045064344
112348a566
1213112aa0
13944a9c0
145db0c1a
153e525e9
hex2afa098

45064344 has 64 divisors (see below), whose sum is σ = 124185600. Its totient is φ = 13539456.

The previous prime is 45064343. The next prime is 45064351. The reversal of 45064344 is 44346054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45064343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11737 + ... + 15095.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 245064344 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 45064344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62092800).

45064344 is an abundant number, since it is smaller than the sum of its proper divisors (79121256).

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

45064344 is a wasteful number, since it uses less digits than its factorization.

45064344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 45064344 is about 6712.9981379410. The cubic root of 45064344 is about 355.8587791507.

The spelling of 45064344 in words is "forty-five million, sixty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 3359 4472 6708 6718 10077 13416 13436 20154 26872 40308 43667 80616 87334 131001 144437 174668 262002 288874 349336 433311 524004 577748 866622 1048008 1155496 1733244 1877681 3466488 3755362 5633043 7510724 11266086 15021448 22532172 45064344