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45314304 = 28378429
BaseRepresentation
bin1010110011011…
…1000100000000
310011021012112120
42230313010000
543100024204
64255124240
71060110450
oct254670400
9104235476
1045314304
1123640342
1213213680
1395076c9
146037d60
153ea16d9
hex2b37100

45314304 has 72 divisors (see below), whose sum is σ = 137847360. Its totient is φ = 12945408.

The previous prime is 45314293. The next prime is 45314309. The reversal of 45314304 is 40341354.

It is a super-2 number, since 2×453143042 = 4106772294008832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (45314309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1162 + ... + 9590.

Almost surely, 245314304 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 45314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68923680).

45314304 is an abundant number, since it is smaller than the sum of its proper divisors (92533056).

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

45314304 is an equidigital number, since it uses as much as digits as its factorization.

45314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8455 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 45314304 is about 6731.5900053405. The cubic root of 45314304 is about 356.5155179078.

Adding to 45314304 its reverse (40341354), we get a palindrome (85655658).

The spelling of 45314304 in words is "forty-five million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 8429 16858 25287 33716 50574 59003 67432 101148 118006 134864 177009 202296 236012 269728 354018 404592 472024 539456 708036 809184 944048 1078912 1416072 1618368 1888096 2157824 2832144 3236736 3776192 5664288 6473472 7552384 11328576 15104768 22657152 45314304