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394536960 = 2113351427
BaseRepresentation
bin10111100001000…
…010100000000000
31000111101112222000
4113201002200000
51302000140320
6103052144000
712530336346
oct2741024000
91014345860
10394536960
11192784504
12b0168000
136397ab2c
143a581996
1524984c90
hex17842800

394536960 has 192 divisors, whose sum is σ = 1403438400. Its totient is φ = 105136128.

The previous prime is 394536949. The next prime is 394536977. The reversal of 394536960 is 69635493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275767 + ... + 277193.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 2394536960 is an apocalyptic number.

394536960 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 394536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701719200).

394536960 is an abundant number, since it is smaller than the sum of its proper divisors (1008901440).

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

394536960 is a wasteful number, since it uses less digits than its factorization.

394536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 394536960 is about 19862.9544630198. The cubic root of 394536960 is about 733.4365768322.

The spelling of 394536960 in words is "three hundred ninety-four million, five hundred thirty-six thousand, nine hundred sixty".