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318909056 = 2729531621
BaseRepresentation
bin10011000000100…
…010101010000000
3211020002020222112
4103000202222000
51123120042211
651351154452
710621453004
oct2300425200
9736066875
10318909056
1115401a104
128a975a28
13510bb7ab
14304d6704
151cee688b
hex13022a80

318909056 has 64 divisors (see below), whose sum is σ = 670048200. Its totient is φ = 150958080.

The previous prime is 318909049. The next prime is 318909083. The reversal of 318909056 is 650909813.

It can be written as a sum of positive squares in 4 ways, for example, as 313998400 + 4910656 = 17720^2 + 2216^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3189090562 = 203405971997622272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195926 + ... + 197546.

Almost surely, 2318909056 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 318909056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335024100).

318909056 is an abundant number, since it is smaller than the sum of its proper divisors (351139144).

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

318909056 is a wasteful number, since it uses less digits than its factorization.

318909056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 318909056 is about 17858.0249747837. The cubic root of 318909056 is about 683.2122070190.

The spelling of 318909056 in words is "three hundred eighteen million, nine hundred nine thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 128 212 232 424 464 848 928 1537 1621 1696 1856 3074 3242 3392 3712 6148 6484 6784 12296 12968 24592 25936 47009 49184 51872 85913 94018 98368 103744 171826 188036 196736 207488 343652 376072 687304 752144 1374608 1504288 2491477 2749216 3008576 4982954 5498432 6017152 9965908 10996864 19931816 39863632 79727264 159454528 318909056