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393947064 = 23347219653
BaseRepresentation
bin10111011110110…
…010011110111000
31000110021120210000
4113132302132320
51301322301224
6103031353000
712522331500
oct2736623670
91013246700
10393947064
11192411295
12abb22760
1363802494
143a46aa00
15248ba0c9
hex177b27b8

393947064 has 240 divisors, whose sum is σ = 1353191400. Its totient is φ = 106468992.

The previous prime is 393947051. The next prime is 393947077. The reversal of 393947064 is 460749393.

It is an interprime number because it is at equal distance from previous prime (393947051) and next prime (393947077).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 602962 + ... + 603614.

Almost surely, 2393947064 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 393947064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676595700).

393947064 is an abundant number, since it is smaller than the sum of its proper divisors (959244336).

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

393947064 is a wasteful number, since it uses less digits than its factorization.

393947064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 393947064 is about 19848.0997579113. The cubic root of 393947064 is about 733.0708594185.

The spelling of 393947064 in words is "three hundred ninety-three million, nine hundred forty-seven thousand, sixty-four".