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316264464 = 243217129193
BaseRepresentation
bin10010110110011…
…101000000010000
3211001002220021200
4102312131000100
51121430430324
651214351200
710560126555
oct2266350020
9731086250
10316264464
1115258319a
1289abb500
13506a3b49
1430008a2c
151cb72ec9
hex12d9d010

316264464 has 60 divisors (see below), whose sum is σ = 937173276. Its totient is φ = 99219456.

The previous prime is 316264463. The next prime is 316264469. The reversal of 316264464 is 464462613.

316264464 is a `hidden beast` number, since 3 + 1 + 6 + 2 + 644 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195440400 + 120824064 = 13980^2 + 10992^2 .

It is a super-2 number, since 2×3162644642 = 200046422378414592, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (316264463) 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 11 ways as a sum of consecutive naturals, for example, 62149 + ... + 67044.

Almost surely, 2316264464 is an apocalyptic number.

316264464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

316264464 is an abundant number, since it is smaller than the sum of its proper divisors (620908812).

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

316264464 is a wasteful number, since it uses less digits than its factorization.

316264464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129224 (or 129215 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 316264464 is about 17783.8259100791. The cubic root of 316264464 is about 681.3184225079.

The spelling of 316264464 in words is "three hundred sixteen million, two hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 129193 258386 387579 516772 775158 1033544 1162737 1550316 2067088 2196281 2325474 3100632 4392562 4650948 6201264 6588843 8785124 9301896 13177686 17570248 18603792 19766529 26355372 35140496 39533058 52710744 79066116 105421488 158132232 316264464