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313220608 = 291274817
BaseRepresentation
bin10010101010110…
…101111000000000
3210211101020220021
4102222311320000
51120141024413
651025223224
710522221421
oct2252657000
9724336807
10313220608
11150894308
1288a91b14
134cb7954c
142d855648
151c77118d
hex12ab5e00

313220608 has 40 divisors (see below), whose sum is σ = 630888192. Its totient is φ = 155344896.

The previous prime is 313220599. The next prime is 313220623. The reversal of 313220608 is 806022313.

313220608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62616 + ... + 67432.

Almost surely, 2313220608 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 313220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315444096).

313220608 is an abundant number, since it is smaller than the sum of its proper divisors (317667584).

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

313220608 is an equidigital number, since it uses as much as digits as its factorization.

313220608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 313220608 is about 17698.0396654545. The cubic root of 313220608 is about 679.1256120081.

The spelling of 313220608 in words is "three hundred thirteen million, two hundred twenty thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 2032 4064 4817 8128 9634 16256 19268 32512 38536 65024 77072 154144 308288 611759 616576 1223518 1233152 2447036 2466304 4894072 9788144 19576288 39152576 78305152 156610304 313220608