Search a number
-
+
314056152 = 233229314887
BaseRepresentation
bin10010101110000…
…001110111011000
3210212221201001100
4102232001313120
51120344244102
651055151400
710532301414
oct2256016730
9725851040
10314056152
11151305043
1289215560
13500ac957
142d9d1d44
151c888a1c
hex12b81dd8

314056152 has 48 divisors (see below), whose sum is σ = 853529040. Its totient is φ = 104321088.

The previous prime is 314056151. The next prime is 314056157. The reversal of 314056152 is 251650413.

314056152 is a `hidden beast` number, since 3 + 1 + 40 + 5 + 615 + 2 = 666.

314056152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314056151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13653 + ... + 28539.

It is an arithmetic number, because the mean of its divisors is an integer number (17781855).

Almost surely, 2314056152 is an apocalyptic number.

It is an amenable number.

314056152 is an abundant number, since it is smaller than the sum of its proper divisors (539472888).

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

314056152 is a wasteful number, since it uses less digits than its factorization.

314056152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15192 (or 15185 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 314056152 is about 17721.6294961835. The cubic root of 314056152 is about 679.7289519515.

The spelling of 314056152 in words is "three hundred fourteen million, fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2637 3516 5274 7032 10548 14887 21096 29774 44661 59548 89322 119096 133983 178644 267966 357288 535932 1071864 4361891 8723782 13085673 17447564 26171346 34895128 39257019 52342692 78514038 104685384 157028076 314056152