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319427472 = 243721331337
BaseRepresentation
bin10011000010100…
…001001110010000
3211021001121010010
4103002201032100
51123233134342
651410234520
710626042300
oct2302411620
9737047103
10319427472
11154343651
128ab85a40
1351240750
14305cd600
151d09a29c
hex130a1390

319427472 has 240 divisors, whose sum is σ = 1070264832. Its totient is φ = 81285120.

The previous prime is 319427453. The next prime is 319427491. The reversal of 319427472 is 274724913.

It is an interprime number because it is at equal distance from previous prime (319427453) and next prime (319427491).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 319427472.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947688 + ... + 948024.

Almost surely, 2319427472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319427472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535132416).

319427472 is an abundant number, since it is smaller than the sum of its proper divisors (750837360).

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

319427472 is a wasteful number, since it uses less digits than its factorization.

319427472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 319427472 is about 17872.5340117175. The cubic root of 319427472 is about 683.5822146896.

The spelling of 319427472 in words is "three hundred nineteen million, four hundred twenty-seven thousand, four hundred seventy-two".