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318465420 = 2235713174773
BaseRepresentation
bin10010111110110…
…110010110001100
3211012020201102120
4102332312112030
51123011343140
651333452540
710614624420
oct2276662614
9735221376
10318465420
11153846869
128a7a1150
1350c948a0
143041cb80
151ce5a1d0
hex12fb658c

318465420 has 384 divisors, whose sum is σ = 1203019776. Its totient is φ = 61046784.

The previous prime is 318465419. The next prime is 318465431. The reversal of 318465420 is 24564813.

318465420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4362504 + ... + 4362576.

It is an arithmetic number, because the mean of its divisors is an integer number (3132864).

Almost surely, 2318465420 is an apocalyptic number.

318465420 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 318465420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601509888).

318465420 is an abundant number, since it is smaller than the sum of its proper divisors (884554356).

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

318465420 is a wasteful number, since it uses less digits than its factorization.

318465420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 318465420 is about 17845.5994575694. The cubic root of 318465420 is about 682.8952533499.

The spelling of 318465420 in words is "three hundred eighteen million, four hundred sixty-five thousand, four hundred twenty".