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318469968 = 2435101811
BaseRepresentation
bin10010111110110…
…111011101010000
3211012020221200000
4102332313131100
51123012014333
651333530000
710614643605
oct2276673520
9735227600
10318469968
1115384a223
128a7a3900
1350c9698b
14304206ac
151ce5b713
hex12fb7750

318469968 has 120 divisors (see below), whose sum is σ = 934586016. Its totient is φ = 104976000.

The previous prime is 318469903. The next prime is 318469969. The reversal of 318469968 is 869964813.

It can be divided in two parts, 31846 and 9968, that added together give a palindrome (41814).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318469969) 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 23 ways as a sum of consecutive naturals, for example, 392283 + ... + 393093.

Almost surely, 2318469968 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 318469968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467293008).

318469968 is an abundant number, since it is smaller than the sum of its proper divisors (616116048).

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

318469968 is a wasteful number, since it uses less digits than its factorization.

318469968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 917 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 318469968 is about 17845.7268834867. The cubic root of 318469968 is about 682.8985041401.

The spelling of 318469968 in words is "three hundred eighteen million, four hundred sixty-nine thousand, nine hundred sixty-eight".