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634574272 = 2637893011
BaseRepresentation
bin100101110100101…
…101010111000000
31122020001201020211
4211310231113000
52244422334042
6142545043504
721503535523
oct4564552700
91566051224
10634574272
112a6223052
12158626594
13a1612947
14603c6bba
153aa9c017
hex25d2d5c0

634574272 has 56 divisors (see below), whose sum is σ = 1308232080. Its totient is φ = 305141760.

The previous prime is 634574257. The next prime is 634574279. The reversal of 634574272 is 272475436.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634574279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209247 + ... + 212257.

Almost surely, 2634574272 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 634574272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654116040).

634574272 is an abundant number, since it is smaller than the sum of its proper divisors (673657808).

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

634574272 is a wasteful number, since it uses less digits than its factorization.

634574272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3139 counting only the distinct ones).

The product of its digits is 282240, while the sum is 40.

The square root of 634574272 is about 25190.7576702250. The cubic root of 634574272 is about 859.3316747427.

The spelling of 634574272 in words is "six hundred thirty-four million, five hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 64 74 89 148 178 296 356 592 712 1184 1424 2368 2848 3011 3293 5696 6022 6586 12044 13172 24088 26344 48176 52688 96352 105376 111407 192704 210752 222814 267979 445628 535958 891256 1071916 1782512 2143832 3565024 4287664 7130048 8575328 9915223 17150656 19830446 39660892 79321784 158643568 317287136 634574272