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314452344 = 233313711423
BaseRepresentation
bin10010101111100…
…010100101111000
3210220200211112010
4102233202211320
51120444433334
651111445520
710535541453
oct2257424570
9726624463
10314452344
11151555778
12893868a0
13501bb09b
142da9649a
151c9160e9
hex12be2978

314452344 has 64 divisors (see below), whose sum is σ = 833495040. Its totient is φ = 98686080.

The previous prime is 314452331. The next prime is 314452363. The reversal of 314452344 is 443254413.

314452344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 21817 + ... + 33239.

It is an arithmetic number, because the mean of its divisors is an integer number (13023360).

Almost surely, 2314452344 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 314452344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416747520).

314452344 is an abundant number, since it is smaller than the sum of its proper divisors (519042696).

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

314452344 is a wasteful number, since it uses less digits than its factorization.

314452344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 11496 counting only the distinct ones).

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

The square root of 314452344 is about 17732.8041775688. The cubic root of 314452344 is about 680.0146651970.

The spelling of 314452344 in words is "three hundred fourteen million, four hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 296 372 444 744 888 1147 2294 3441 4588 6882 9176 11423 13764 22846 27528 34269 45692 68538 91384 137076 274152 354113 422651 708226 845302 1062339 1267953 1416452 1690604 2124678 2535906 2832904 3381208 4249356 5071812 8498712 10143624 13102181 26204362 39306543 52408724 78613086 104817448 157226172 314452344