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634880496 = 243311313257
BaseRepresentation
bin100101110101111…
…000000111110000
31122020122021022110
4211311320013300
52300012133441
6142555405320
721506252355
oct4565700760
91566567273
10634880496
112a6412128
12158753840
13a16bc143
146046662c
153ab0cb16
hex25d781f0

634880496 has 80 divisors (see below), whose sum is σ = 1706462208. Its totient is φ = 203174400.

The previous prime is 634880461. The next prime is 634880513. The reversal of 634880496 is 694088436.

634880496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 193300 + ... + 196556.

Almost surely, 2634880496 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 634880496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853231104).

634880496 is an abundant number, since it is smaller than the sum of its proper divisors (1071581712).

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

634880496 is a wasteful number, since it uses less digits than its factorization.

634880496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 634880496 is about 25196.8350393457. The cubic root of 634880496 is about 859.4698806113.

The spelling of 634880496 in words is "six hundred thirty-four million, eight hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 131 186 248 262 372 393 496 524 744 786 1048 1488 1572 2096 3144 3257 4061 6288 6514 8122 9771 12183 13028 16244 19542 24366 26056 32488 39084 48732 52112 64976 78168 97464 100967 156336 194928 201934 302901 403868 426667 605802 807736 853334 1211604 1280001 1615472 1706668 2423208 2560002 3413336 4846416 5120004 6826672 10240008 13226677 20480016 26453354 39680031 52906708 79360062 105813416 158720124 211626832 317440248 634880496