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318479976 = 233219212253
BaseRepresentation
bin10010111110111…
…001111001101000
3211012021110101200
4102332321321220
51123012324401
651334044200
710615015023
oct2276717150
9735243350
10318479976
111538567a1
128a7a9660
1350c9b3b9
14304241ba
151ce5e686
hex12fb9e68

318479976 has 72 divisors (see below), whose sum is σ = 910410930. Its totient is φ = 100564416.

The previous prime is 318479971. The next prime is 318479977. The reversal of 318479976 is 679974813.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 273240900 + 45239076 = 16530^2 + 6726^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3184799762 = 202858990225921152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (318479971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19866 + ... + 32118.

Almost surely, 2318479976 is an apocalyptic number.

318479976 is a gapful number since it is divisible by the number (36) 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 318479976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455205465).

318479976 is an abundant number, since it is smaller than the sum of its proper divisors (591930954).

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

318479976 is a wasteful number, since it uses less digits than its factorization.

318479976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12303 (or 12277 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 318479976 is about 17846.0072845441. The cubic root of 318479976 is about 682.9056574851.

The spelling of 318479976 in words is "three hundred eighteen million, four hundred seventy-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 6498 8664 12253 12996 24506 25992 36759 49012 73518 98024 110277 147036 220554 232807 294072 441108 465614 698421 882216 931228 1396842 1862456 2095263 2793684 4190526 4423333 5587368 8381052 8846666 13269999 16762104 17693332 26539998 35386664 39809997 53079996 79619994 106159992 159239988 318479976