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319985328 = 24313512797
BaseRepresentation
bin10011000100101…
…001011010110000
3211022002221100110
4103010221122300
51123404012303
651430221320
710633554555
oct2304513260
9738087313
10319985328
11154694793
128b1b4840
13513a7640
14306d6a2c
151d15a703
hex131296b0

319985328 has 40 divisors (see below), whose sum is σ = 890217328. Its totient is φ = 98456832.

The previous prime is 319985297. The next prime is 319985357. The reversal of 319985328 is 823589913.

It is a happy number.

319985328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3199853282 = 204781220270535168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255775 + ... + 257022.

Almost surely, 2319985328 is an apocalyptic number.

It is an amenable number.

319985328 is an abundant number, since it is smaller than the sum of its proper divisors (570232000).

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

319985328 is a wasteful number, since it uses less digits than its factorization.

319985328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512821 (or 512815 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 319985328 is about 17888.1337204304. The cubic root of 319985328 is about 683.9799248580.

The spelling of 319985328 in words is "three hundred nineteen million, nine hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 512797 1025594 1538391 2051188 3076782 4102376 6153564 6666361 8204752 12307128 13332722 19999083 24614256 26665444 39998166 53330888 79996332 106661776 159992664 319985328