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634605312 = 2831126829
BaseRepresentation
bin100101110100110…
…100111100000000
31122020010021211110
4211310310330000
52244424332222
6142545443320
721504025155
oct4564647400
91566107743
10634605312
112a6244400
12158640540
13a1623b03
14603d422c
153aaa630c
hex25d34f00

634605312 has 108 divisors (see below), whose sum is σ = 1856749160. Its totient is φ = 192276480.

The previous prime is 634605287. The next prime is 634605319. The reversal of 634605312 is 213506436.

It is a self number, because there is not a number n which added to its sum of digits gives 634605312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634605319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89514 + ... + 96342.

Almost surely, 2634605312 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 634605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928374580).

634605312 is an abundant number, since it is smaller than the sum of its proper divisors (1222143848).

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

634605312 is a wasteful number, since it uses less digits than its factorization.

634605312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870 (or 6845 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 634605312 is about 25191.3737616669. The cubic root of 634605312 is about 859.3456858267.

The spelling of 634605312 in words is "six hundred thirty-four million, six hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1408 1452 1936 2112 2816 2904 3872 4224 5808 6829 7744 8448 11616 13658 15488 20487 23232 27316 30976 40974 46464 54632 75119 81948 92928 109264 150238 163896 218528 225357 300476 327792 437056 450714 600952 655584 826309 874112 901428 1201904 1311168 1652618 1748224 1802856 2403808 2478927 2622336 3305236 3605712 4807616 4957854 5244672 6610472 7211424 9615232 9915708 13220944 14422848 19230464 19831416 26441888 28845696 39662832 52883776 57691392 79325664 105767552 158651328 211535104 317302656 634605312