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319485440 = 295124799
BaseRepresentation
bin10011000010101…
…111011000000000
3211021011112122002
4103002233120000
51123242013230
651411403132
710626403301
oct2302573000
9737145562
10319485440
1115438315a
128abb34a8
1351260c51
14306067a8
151d0ac545
hex130af600

319485440 has 40 divisors (see below), whose sum is σ = 766022400. Its totient is φ = 127793152.

The previous prime is 319485427. The next prime is 319485443. The reversal of 319485440 is 44584913.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 319485394 and 319485403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319485443) 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, 59840 + ... + 64959.

It is an arithmetic number, because the mean of its divisors is an integer number (19150560).

Almost surely, 2319485440 is an apocalyptic number.

It is an amenable number.

319485440 is an abundant number, since it is smaller than the sum of its proper divisors (446536960).

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

319485440 is an equidigital number, since it uses as much as digits as its factorization.

319485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124822 (or 124806 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 319485440 is about 17874.1556443934. The cubic root of 319485440 is about 683.6235631443.

The spelling of 319485440 in words is "three hundred nineteen million, four hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 124799 249598 499196 623995 998392 1247990 1996784 2495980 3993568 4991960 7987136 9983920 15974272 19967840 31948544 39935680 63897088 79871360 159742720 319485440