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314025444 = 223322712809
BaseRepresentation
bin10010101101111…
…010010111100100
3210212220010221000
4102231322113210
51120342303234
651054353300
710532113035
oct2255722744
9725803830
10314025444
11151293a67
12891bb830
135009b995
142d9c4a8c
151c87e899
hex12b7a5e4

314025444 has 48 divisors (see below), whose sum is σ = 817790400. Its totient is φ = 104205888.

The previous prime is 314025409. The next prime is 314025451. The reversal of 314025444 is 444520413.

It is a happy number.

It is a super-2 number, since 2×3140254442 = 197223958958794272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18112 + ... + 30920.

It is an arithmetic number, because the mean of its divisors is an integer number (17037300).

Almost surely, 2314025444 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 314025444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408895200).

314025444 is an abundant number, since it is smaller than the sum of its proper divisors (503764956).

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

314025444 is a wasteful number, since it uses less digits than its factorization.

314025444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13049 (or 13041 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 314025444 is about 17720.7630761206. The cubic root of 314025444 is about 679.7067968933.

Adding to 314025444 its reverse (444520413), we get a palindrome (758545857).

The spelling of 314025444 in words is "three hundred fourteen million, twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 227 454 681 908 1362 2043 2724 4086 6129 8172 12258 12809 24516 25618 38427 51236 76854 115281 153708 230562 345843 461124 691686 1383372 2907643 5815286 8722929 11630572 17445858 26168787 34891716 52337574 78506361 104675148 157012722 314025444