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316905600 = 27352113001
BaseRepresentation
bin10010111000111…
…001100010000000
3211002022110202110
4102320321202000
51122111434400
651240215320
710565440014
oct2270714200
9732273673
10316905600
11152980960
128a16a540
135086990b
1430134544
151cc4ce50
hex12e39880

316905600 has 192 divisors, whose sum is σ = 1139078880. Its totient is φ = 76800000.

The previous prime is 316905539. The next prime is 316905607. The reversal of 316905600 is 6509613.

It is a happy number.

316905600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3169056002 = 200858318622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316905607) 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 23 ways as a sum of consecutive naturals, for example, 104100 + ... + 107100.

Almost surely, 2316905600 is an apocalyptic number.

316905600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569539440).

316905600 is an abundant number, since it is smaller than the sum of its proper divisors (822173280).

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

316905600 is a wasteful number, since it uses less digits than its factorization.

316905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 316905600 is about 17801.8426012590. The cubic root of 316905600 is about 681.7785046810.

The spelling of 316905600 in words is "three hundred sixteen million, nine hundred five thousand, six hundred".