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634426056 = 2332115913577
BaseRepresentation
bin100101110100001…
…001001011001000
31122012210011221100
4211310021023020
52244403113211
6142541541400
721502350435
oct4564111310
91565704840
10634426056
112a6131760
12158574860
13a1590344
1460388b8c
153aa6d156
hex25d092c8

634426056 has 96 divisors (see below), whose sum is σ = 1906351200. Its totient is φ = 188977920.

The previous prime is 634426027. The next prime is 634426063. The reversal of 634426056 is 650624436.

634426056 is a `hidden beast` number, since 6 + 3 + 4 + 42 + 605 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 634426056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39940 + ... + 53516.

It is an arithmetic number, because the mean of its divisors is an integer number (19857825).

Almost surely, 2634426056 is an apocalyptic number.

634426056 is a gapful number since it is divisible by the number (66) 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 634426056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953175600).

634426056 is an abundant number, since it is smaller than the sum of its proper divisors (1271925144).

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

634426056 is a wasteful number, since it uses less digits than its factorization.

634426056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13659 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 634426056 is about 25187.8156258140. The cubic root of 634426056 is about 859.2647655163.

It can be divided in two parts, 6344 and 26056, that added together give a square (32400 = 1802).

The spelling of 634426056 in words is "six hundred thirty-four million, four hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 59 66 72 88 99 118 132 177 198 236 264 354 396 472 531 649 708 792 1062 1298 1416 1947 2124 2596 3894 4248 5192 5841 7788 11682 13577 15576 23364 27154 40731 46728 54308 81462 108616 122193 149347 162924 244386 298694 325848 448041 488772 597388 801043 896082 977544 1194776 1344123 1602086 1792164 2403129 2688246 3204172 3584328 4806258 5376492 6408344 7209387 8811473 9612516 10752984 14418774 17622946 19225032 26434419 28837548 35245892 52868838 57675096 70491784 79303257 105737676 158606514 211475352 317213028 634426056