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313795080 = 233352943233
BaseRepresentation
bin10010101101000…
…010001000001000
3210212110102221000
4102231002020020
51120312420310
651045415000
710530133314
oct2255021010
9725412830
10313795080
11151146985
128910a460
135001ab81
142d964b44
151c8364c0
hex12b42208

313795080 has 256 divisors, whose sum is σ = 1111968000. Its totient is φ = 78575616.

The previous prime is 313795073. The next prime is 313795087. The reversal of 313795080 is 80597313.

313795080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313795073) and next prime (313795087).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (313795087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1346644 + ... + 1346876.

It is an arithmetic number, because the mean of its divisors is an integer number (4343625).

Almost surely, 2313795080 is an apocalyptic number.

313795080 is a gapful number since it is divisible by the number (30) 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 313795080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555984000).

313795080 is an abundant number, since it is smaller than the sum of its proper divisors (798172920).

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

313795080 is a wasteful number, since it uses less digits than its factorization.

313795080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 313795080 is about 17714.2620506754. The cubic root of 313795080 is about 679.5405489206.

The spelling of 313795080 in words is "three hundred thirteen million, seven hundred ninety-five thousand, eighty".