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319381272 = 23337211231
BaseRepresentation
bin10011000010010…
…101111100011000
3211020222020202000
4103002111330120
51123230200042
651405241000
710625460510
oct2302257430
9736866660
10319381272
11154311971
128ab63160
1351225702
14305ba840
151d08b74c
hex13095f18

319381272 has 64 divisors (see below), whose sum is σ = 1013913600. Its totient is φ = 91251360.

The previous prime is 319381247. The next prime is 319381301. The reversal of 319381272 is 272183913.

319381272 is a `hidden beast` number, since 3 + 1 + 9 + 381 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104104 + ... + 107127.

It is an arithmetic number, because the mean of its divisors is an integer number (15842400).

Almost surely, 2319381272 is an apocalyptic number.

It is an amenable number.

319381272 is an abundant number, since it is smaller than the sum of its proper divisors (694532328).

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

319381272 is a wasteful number, since it uses less digits than its factorization.

319381272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211253 (or 211243 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 319381272 is about 17871.2414789796. The cubic root of 319381272 is about 683.5492567427.

The spelling of 319381272 in words is "three hundred nineteen million, three hundred eighty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 211231 422462 633693 844924 1267386 1478617 1689848 1901079 2534772 2957234 3802158 4435851 5069544 5703237 5914468 7604316 8871702 11406474 11828936 13307553 15208632 17743404 22812948 26615106 35486808 39922659 45625896 53230212 79845318 106460424 159690636 319381272