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314330432 = 2613377801
BaseRepresentation
bin10010101111000…
…100110101000000
3210220110122021212
4102233010311000
51120432033212
651105105252
710534523153
oct2257046500
9726418255
10314330432
11151482119
1289328228
1350177750
142da63c9a
151c8dee22
hex12bc4d40

314330432 has 28 divisors (see below), whose sum is σ = 671731956. Its totient is φ = 145075200.

The previous prime is 314330417. The next prime is 314330453. The reversal of 314330432 is 234033413.

It can be written as a sum of positive squares in 2 ways, for example, as 15178816 + 299151616 = 3896^2 + 17296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 314330398 and 314330407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188069 + ... + 189732.

It is an arithmetic number, because the mean of its divisors is an integer number (23990427).

Almost surely, 2314330432 is an apocalyptic number.

314330432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314330432 is an abundant number, since it is smaller than the sum of its proper divisors (357401524).

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

314330432 is a wasteful number, since it uses less digits than its factorization.

314330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377826 (or 377816 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 314330432 is about 17729.3663733366. The cubic root of 314330432 is about 679.9267741219.

Adding to 314330432 its reverse (234033413), we get a palindrome (548363845).

The spelling of 314330432 in words is "three hundred fourteen million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 377801 755602 1511204 3022408 4911413 6044816 9822826 12089632 19645652 24179264 39291304 78582608 157165216 314330432