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45314368 = 2611191337
BaseRepresentation
bin1010110011011…
…1000101000000
310011021012121221
42230313011000
543100024433
64255124424
71060110601
oct254670500
9104235557
1045314368
11236403a0
1213213714
139507748
146037da8
153ea172d
hex2b37140

45314368 has 56 divisors (see below), whose sum is σ = 98901504. Its totient is φ = 20428800.

The previous prime is 45314363. The next prime is 45314369. The reversal of 45314368 is 86341354.

It is a happy number.

45314368 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45314363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134296 + ... + 134632.

Almost surely, 245314368 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 45314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49450752).

45314368 is an abundant number, since it is smaller than the sum of its proper divisors (53587136).

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

45314368 is a wasteful number, since it uses less digits than its factorization.

45314368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 541 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 45314368 is about 6731.5947590448. The cubic root of 45314368 is about 356.5156857502.

It can be divided in two parts, 45 and 314368, that added together give a palindrome (314413).

The spelling of 45314368 in words is "forty-five million, three hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 191 337 352 382 674 704 764 1348 1528 2101 2696 3056 3707 4202 5392 6112 7414 8404 10784 12224 14828 16808 21568 29656 33616 59312 64367 67232 118624 128734 134464 237248 257468 514936 708037 1029872 1416074 2059744 2832148 4119488 5664296 11328592 22657184 45314368