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319082368 = 2711226621
BaseRepresentation
bin10011000001001…
…100111110000000
3211020102001201111
4103001030332000
51123141113433
651355013104
710623104203
oct2301147600
9736361644
10319082368
11154128340
128aa3a194
135114c647
143053d93a
151d02cdcd
hex1304cf80

319082368 has 32 divisors (see below), whose sum is σ = 693463320. Its totient is φ = 145036800.

The previous prime is 319082363. The next prime is 319082437. The reversal of 319082368 is 863280913.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 319082368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319082363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111903 + ... + 114718.

Almost surely, 2319082368 is an apocalyptic number.

It is an amenable number.

319082368 is an abundant number, since it is smaller than the sum of its proper divisors (374380952).

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

319082368 is a wasteful number, since it uses less digits than its factorization.

319082368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226646 (or 226634 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 319082368 is about 17862.8768119808. The cubic root of 319082368 is about 683.3359491208.

It can be divided in two parts, 3190 and 82368, that added together give a palindrome (85558).

The spelling of 319082368 in words is "three hundred nineteen million, eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 226621 453242 906484 1812968 2492831 3625936 4985662 7251872 9971324 14503744 19942648 29007488 39885296 79770592 159541184 319082368