Search a number
-
+
314162144 = 2579151823
BaseRepresentation
bin10010101110011…
…011101111100000
3210220011002102222
4102232123233200
51120411142034
651101330212
710533222422
oct2256335740
9726132388
10314162144
1115137773a
1289266968
1350118c7a
142da1c812
151c8aa12e
hex12b9bbe0

314162144 has 48 divisors (see below), whose sum is σ = 631249920. Its totient is φ = 153878400.

The previous prime is 314162117. The next prime is 314162161. The reversal of 314162144 is 441261413.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381317 + ... + 382139.

It is an arithmetic number, because the mean of its divisors is an integer number (13151040).

Almost surely, 2314162144 is an apocalyptic number.

It is an amenable number.

314162144 is an abundant number, since it is smaller than the sum of its proper divisors (317087776).

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

314162144 is a wasteful number, since it uses less digits than its factorization.

314162144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1055 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 314162144 is about 17724.6197138331. The cubic root of 314162144 is about 679.8054114500.

The spelling of 314162144 in words is "three hundred fourteen million, one hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 79 151 158 302 316 604 632 823 1208 1264 1646 2416 2528 3292 4832 6584 11929 13168 23858 26336 47716 65017 95432 124273 130034 190864 248546 260068 381728 497092 520136 994184 1040272 1988368 2080544 3976736 9817567 19635134 39270268 78540536 157081072 314162144