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319445928 = 23324436749
BaseRepresentation
bin10011000010100…
…101101110101000
3211021002112102200
4103002211232220
51123234232203
651410500200
710626150144
oct2302455650
9737075380
10319445928
111543564aa
128ab94660
1351248c79
14305d6224
151d0a09a3
hex130a5ba8

319445928 has 24 divisors (see below), whose sum is σ = 865166250. Its totient is φ = 106481952.

The previous prime is 319445927. The next prime is 319445983. The reversal of 319445928 is 829544913.

319445928 is a `hidden beast` number, since 3 + 19 + 44 + 592 + 8 = 666.

319445928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 297148644 + 22297284 = 17238^2 + 4722^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (319445927) by changing a digit.

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, 2218303 + ... + 2218446.

Almost surely, 2319445928 is an apocalyptic number.

It is an amenable number.

319445928 is an abundant number, since it is smaller than the sum of its proper divisors (545720322).

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

319445928 is a wasteful number, since it uses less digits than its factorization.

319445928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436761 (or 4436754 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 319445928 is about 17873.0503272385. The cubic root of 319445928 is about 683.5953798591.

The spelling of 319445928 in words is "three hundred nineteen million, four hundred forty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4436749 8873498 13310247 17746996 26620494 35493992 39930741 53240988 79861482 106481976 159722964 319445928