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314445288 = 23319977109
BaseRepresentation
bin10010101111100…
…000110111101000
3210220200110211210
4102233200313220
51120444222123
651111353120
710535512053
oct2257406750
9726613753
10314445288
11151550443
12893827a0
13501b7b01
142da93a9a
151c913e93
hex12be0de8

314445288 has 64 divisors (see below), whose sum is σ = 836136000. Its totient is φ = 98260992.

The previous prime is 314445247. The next prime is 314445317. The reversal of 314445288 is 882544413.

314445288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40678 + ... + 47786.

It is an arithmetic number, because the mean of its divisors is an integer number (13064625).

Almost surely, 2314445288 is an apocalyptic number.

314445288 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314445288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418068000).

314445288 is an abundant number, since it is smaller than the sum of its proper divisors (521690712).

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

314445288 is a wasteful number, since it uses less digits than its factorization.

314445288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234 (or 7230 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 314445288 is about 17732.6052231476. The cubic root of 314445288 is about 680.0095788731.

The spelling of 314445288 in words is "three hundred fourteen million, four hundred forty-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 97 114 152 194 228 291 388 456 582 776 1164 1843 2328 3686 5529 7109 7372 11058 14218 14744 21327 22116 28436 42654 44232 56872 85308 135071 170616 270142 405213 540284 689573 810426 1080568 1379146 1620852 2068719 2758292 3241704 4137438 5516584 8274876 13101887 16549752 26203774 39305661 52407548 78611322 104815096 157222644 314445288