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313566640 = 2453919583
BaseRepresentation
bin10010101100001…
…010010110110000
3210212000211120021
4102230022112300
51120233113030
651040453224
710525162312
oct2254122660
9725024507
10313566640
11151000292
128901a214
134cc6abba
142d9057b2
151c7dd97a
hex12b0a5b0

313566640 has 20 divisors (see below), whose sum is σ = 729042624. Its totient is φ = 125426624.

The previous prime is 313566637. The next prime is 313566641. The reversal of 313566640 is 46665313.

313566640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 313566596 and 313566605.

It is not an unprimeable number, because it can be changed into a prime (313566641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1959712 + ... + 1959871.

Almost surely, 2313566640 is an apocalyptic number.

It is an amenable number.

313566640 is an abundant number, since it is smaller than the sum of its proper divisors (415475984).

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

313566640 is a wasteful number, since it uses less digits than its factorization.

313566640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919596 (or 3919590 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 313566640 is about 17707.8129649034. The cubic root of 313566640 is about 679.3756090836.

The spelling of 313566640 in words is "three hundred thirteen million, five hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3919583 7839166 15678332 19597915 31356664 39195830 62713328 78391660 156783320 313566640