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634456992 = 253132631933
BaseRepresentation
bin100101110100010…
…000101110100000
31122012211202101010
4211310100232200
52244410110432
6142542340520
721502536561
oct4564205640
91565752333
10634456992
112a6152a24
1215858a740
13a15a1450
1460396168
153aa773cc
hex25d10ba0

634456992 has 96 divisors (see below), whose sum is σ = 1801312128. Its totient is φ = 194374656.

The previous prime is 634456981. The next prime is 634456997. The reversal of 634456992 is 299654436.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (634456997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327258 + ... + 329190.

It is an arithmetic number, because the mean of its divisors is an integer number (18763668).

Almost surely, 2634456992 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 634456992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900656064).

634456992 is an abundant number, since it is smaller than the sum of its proper divisors (1166855136).

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

634456992 is a wasteful number, since it uses less digits than its factorization.

634456992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2214 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 634456992 is about 25188.4297247764. The cubic root of 634456992 is about 859.2787318314.

It can be divided in two parts, 6344 and 56992, that added together give a palindrome (63336).

The spelling of 634456992 in words is "six hundred thirty-four million, four hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 263 312 416 526 624 789 1052 1248 1578 1933 2104 3156 3419 3866 4208 5799 6312 6838 7732 8416 10257 11598 12624 13676 15464 20514 23196 25129 25248 27352 30928 41028 46392 50258 54704 61856 75387 82056 92784 100516 109408 150774 164112 185568 201032 301548 328224 402064 508379 603096 804128 1016758 1206192 1525137 2033516 2412384 3050274 4067032 6100548 6608927 8134064 12201096 13217854 16268128 19826781 24402192 26435708 39653562 48804384 52871416 79307124 105742832 158614248 211485664 317228496 634456992