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319056372 = 22328862677
BaseRepresentation
bin10011000001000…
…110100111110100
3211020100202001200
4103001012213310
51123134300442
651354252500
710622635335
oct2301064764
9736322050
10319056372
1115410a858
128aa27130
135114086b
143053428c
151d02534c
hex130469f4

319056372 has 18 divisors (see below), whose sum is σ = 806503698. Its totient is φ = 106352112.

The previous prime is 319056317. The next prime is 319056389. The reversal of 319056372 is 273650913.

319056372 is a `hidden beast` number, since 3 + 1 + 90 + 563 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 284057316 + 34999056 = 16854^2 + 5916^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 8862677 = 319056372 / (3 + 1 + 9 + 0 + 5 + 6 + 3 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4431303 + ... + 4431374.

It is an arithmetic number, because the mean of its divisors is an integer number (44805761).

Almost surely, 2319056372 is an apocalyptic number.

It is an amenable number.

319056372 is an abundant number, since it is smaller than the sum of its proper divisors (487447326).

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

319056372 is a wasteful number, since it uses less digits than its factorization.

319056372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862687 (or 8862682 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 319056372 is about 17862.1491428103. The cubic root of 319056372 is about 683.3173912336.

The spelling of 319056372 in words is "three hundred nineteen million, fifty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 8862677 17725354 26588031 35450708 53176062 79764093 106352124 159528186 319056372