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394042656 = 25373831531
BaseRepresentation
bin10111011111001…
…001110100100000
31000110110102220110
4113133021310200
51301333331111
6103033411320
712523210260
oct2737116440
91013412813
10394042656
11192477097
12abb69b40
1363836b47
143a4937a0
15248d85a6
hex177c9d20

394042656 has 96 divisors (see below), whose sum is σ = 1185988608. Its totient is φ = 112216320.

The previous prime is 394042631. The next prime is 394042667. The reversal of 394042656 is 656240493.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3940426562 = 310539229495068672, which contains 22 as substring.

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, 256611 + ... + 258141.

It is an arithmetic number, because the mean of its divisors is an integer number (12354048).

Almost surely, 2394042656 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 394042656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592994304).

394042656 is an abundant number, since it is smaller than the sum of its proper divisors (791945952).

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

394042656 is a wasteful number, since it uses less digits than its factorization.

394042656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 394042656 is about 19850.5077013159. The cubic root of 394042656 is about 733.1301483000.

The spelling of 394042656 in words is "three hundred ninety-four million, forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 383 672 766 1149 1531 1532 2298 2681 3062 3064 4593 4596 5362 6124 6128 8043 9186 9192 10717 10724 12248 12256 16086 18372 18384 21434 21448 24496 32151 32172 36744 36768 42868 42896 48992 64302 64344 73488 85736 85792 128604 128688 146976 171472 257208 257376 342944 514416 586373 1028832 1172746 1759119 2345492 3518238 4104611 4690984 7036476 8209222 9381968 12313833 14072952 16418444 18763936 24627666 28145904 32836888 49255332 56291808 65673776 98510664 131347552 197021328 394042656