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314336 = 25111947
BaseRepresentation
bin1001100101111100000
3120222012002
41030233200
540024321
610423132
72446301
oct1145740
9528162
10314336
111a5190
12131aa8
13b00c9
14827a8
156320b
hex4cbe0

314336 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 132480.

The previous prime is 314329. The next prime is 314339. The reversal of 314336 is 633413.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314336.

It is not an unprimeable number, because it can be changed into a prime (314339) by changing a digit.

314336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6665 + ... + 6711.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2314336 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 314336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

314336 is an abundant number, since it is smaller than the sum of its proper divisors (411424).

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

314336 is a wasteful number, since it uses less digits than its factorization.

314336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 314336 is about 560.6567577404. The cubic root of 314336 is about 67.9930788804.

Adding to 314336 its reverse (633413), we get a palindrome (947749).

The spelling of 314336 in words is "three hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 47 76 88 94 152 176 188 209 304 352 376 418 517 608 752 836 893 1034 1504 1672 1786 2068 3344 3572 4136 6688 7144 8272 9823 14288 16544 19646 28576 39292 78584 157168 314336