Search a number
-
+
314553056 = 2519895813
BaseRepresentation
bin10010101111111…
…011001011100000
3210220212221200012
4102233323023200
51121011144211
651113544052
710536441206
oct2257731340
9726787605
10314553056
11151614404
1289415028
1350224b8c
142dac1076
151c935d8b
hex12bfb2e0

314553056 has 48 divisors (see below), whose sum is σ = 659307600. Its totient is φ = 147299328.

The previous prime is 314553049. The next prime is 314553059. The reversal of 314553056 is 650355413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314553059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51206 + ... + 57018.

It is an arithmetic number, because the mean of its divisors is an integer number (13735575).

Almost surely, 2314553056 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 314553056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329653800).

314553056 is an abundant number, since it is smaller than the sum of its proper divisors (344754544).

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

314553056 is a wasteful number, since it uses less digits than its factorization.

314553056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 314553056 is about 17735.6436590274. The cubic root of 314553056 is about 680.0872552392.

The spelling of 314553056 in words is "three hundred fourteen million, five hundred fifty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 89 152 178 304 356 608 712 1424 1691 2848 3382 5813 6764 11626 13528 23252 27056 46504 54112 93008 110447 186016 220894 441788 517357 883576 1034714 1767152 2069428 3534304 4138856 8277712 9829783 16555424 19659566 39319132 78638264 157276528 314553056