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319484420 = 225112914149
BaseRepresentation
bin10011000010101…
…111001000000100
3211021011111020022
4103002233020010
51123242000140
651411354312
710626400313
oct2302571004
9737144208
10319484420
11154382412
128abb2998
1351260648
143060627a
151d0ac0b5
hex130af204

319484420 has 24 divisors (see below), whose sum is σ = 671559000. Its totient is φ = 127671552.

The previous prime is 319484413. The next prime is 319484447. The reversal of 319484420 is 24484913.

It can be written as a sum of positive squares in 4 ways, for example, as 36168196 + 283316224 = 6014^2 + 16832^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15506 + ... + 29654.

It is an arithmetic number, because the mean of its divisors is an integer number (27981625).

Almost surely, 2319484420 is an apocalyptic number.

It is an amenable number.

319484420 is an abundant number, since it is smaller than the sum of its proper divisors (352074580).

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

319484420 is a wasteful number, since it uses less digits than its factorization.

319484420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15287 (or 15285 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 319484420 is about 17874.1271115543. The cubic root of 319484420 is about 683.6228356236.

The spelling of 319484420 in words is "three hundred nineteen million, four hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1129 2258 4516 5645 11290 14149 22580 28298 56596 70745 141490 282980 15974221 31948442 63896884 79871105 159742210 319484420