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318479040 = 26345111117
BaseRepresentation
bin10010111110111…
…001101011000000
3211012021102010000
4102332321223000
51123012312130
651334040000
710615012215
oct2276715300
9735242100
10318479040
11153856020
128a7a9000
1350c9ab49
1430423b0c
151ce5e260
hex12fb9ac0

318479040 has 280 divisors, whose sum is σ = 1236982032. Its totient is φ = 77137920.

The previous prime is 318479023. The next prime is 318479041. The reversal of 318479040 is 40974813.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 318478986 and 318479004.

It is not an unprimeable number, because it can be changed into a prime (318479041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284562 + ... + 285678.

Almost surely, 2318479040 is an apocalyptic number.

318479040 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 318479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618491016).

318479040 is an abundant number, since it is smaller than the sum of its proper divisors (918502992).

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

318479040 is a wasteful number, since it uses less digits than its factorization.

318479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 318479040 is about 17845.9810601715. The cubic root of 318479040 is about 682.9049884736.

The spelling of 318479040 in words is "three hundred eighteen million, four hundred seventy-nine thousand, forty".