Search a number
-
+
314313402 = 231331433023
BaseRepresentation
bin10010101111000…
…000101010111010
3210220102202221010
4102233000222322
51120431012102
651104454350
710534422414
oct2257005272
9726382833
10314313402
11151470347
128931a3b6
135016ca80
142da5b9b4
151c8d9d6c
hex12bc0aba

314313402 has 64 divisors (see below), whose sum is σ = 715309056. Its totient is φ = 91385280.

The previous prime is 314313367. The next prime is 314313403. The reversal of 314313402 is 204313413.

It is not an unprimeable number, because it can be changed into a prime (314313403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102463 + ... + 105485.

It is an arithmetic number, because the mean of its divisors is an integer number (11176704).

Almost surely, 2314313402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314313402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357654528).

314313402 is an abundant number, since it is smaller than the sum of its proper divisors (400995654).

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

314313402 is a wasteful number, since it uses less digits than its factorization.

314313402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 314313402 is about 17728.8860902201. The cubic root of 314313402 is about 679.9144947274.

Adding to 314313402 its reverse (204313413), we get a palindrome (518626815).

The spelling of 314313402 in words is "three hundred fourteen million, three hundred thirteen thousand, four hundred two".

Divisors: 1 2 3 6 13 26 31 39 43 62 78 86 93 129 186 258 403 559 806 1118 1209 1333 1677 2418 2666 3023 3354 3999 6046 7998 9069 17329 18138 34658 39299 51987 78598 93713 103974 117897 129989 187426 235794 259978 281139 389967 562278 779934 1218269 1689857 2436538 3379714 3654807 4029659 5069571 7309614 8059318 10139142 12088977 24177954 52385567 104771134 157156701 314313402