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319013928 = 23324430749
BaseRepresentation
bin10011000000111…
…100010000101000
3211020021120211200
4103000330100220
51123131421203
651353324200
710622400522
oct2300742050
9736246750
10319013928
11154090982
128aa06660
135112744c
1430522a12
151d0179a3
hex1303c428

319013928 has 24 divisors (see below), whose sum is σ = 863996250. Its totient is φ = 106337952.

The previous prime is 319013927. The next prime is 319013941. The reversal of 319013928 is 829310913.

319013928 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., 314778564 + 4235364 = 17742^2 + 2058^2 .

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

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 a junction number, because it is equal to n+sod(n) for n = 319013892 and 319013901.

It is not an unprimeable number, because it can be changed into a prime (319013923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2215303 + ... + 2215446.

Almost surely, 2319013928 is an apocalyptic number.

It is an amenable number.

319013928 is an abundant number, since it is smaller than the sum of its proper divisors (544982322).

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

319013928 is a wasteful number, since it uses less digits than its factorization.

319013928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430761 (or 4430754 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 319013928 is about 17860.9610043805. The cubic root of 319013928 is about 683.2870893684.

The spelling of 319013928 in words is "three hundred nineteen million, thirteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4430749 8861498 13292247 17722996 26584494 35445992 39876741 53168988 79753482 106337976 159506964 319013928