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316952820 = 223251760849
BaseRepresentation
bin10010111001000…
…101000011110100
3211002101212112100
4102321011003310
51122114442240
651241222100
710566024462
oct2271050364
9732355470
10316952820
11152a03388
128a191930
1350885262
1430147832
151cc5be30
hex12e450f4

316952820 has 36 divisors (see below), whose sum is σ = 961424100. Its totient is φ = 84520704.

The previous prime is 316952809. The next prime is 316952821. The reversal of 316952820 is 28259613.

It can be written as a sum of positive squares in 2 ways, for example, as 110628324 + 206324496 = 10518^2 + 14364^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316952821) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 880245 + ... + 880604.

It is an arithmetic number, because the mean of its divisors is an integer number (26706225).

Almost surely, 2316952820 is an apocalyptic number.

316952820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

316952820 is an abundant number, since it is smaller than the sum of its proper divisors (644471280).

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

316952820 is a wasteful number, since it uses less digits than its factorization.

316952820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760864 (or 1760859 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 316952820 is about 17803.1688190614. The cubic root of 316952820 is about 681.8123654292.

The spelling of 316952820 in words is "three hundred sixteen million, nine hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1760849 3521698 5282547 7043396 8804245 10565094 15847641 17608490 21130188 26412735 31695282 35216980 52825470 63390564 79238205 105650940 158476410 316952820