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634893312 = 2103233887
BaseRepresentation
bin100101110101111…
…011010000000000
31122020122220220010
4211311323100000
52300013041222
6142555544520
721506334624
oct4565732000
91566586803
10634893312
112a6420819
1215875b140
13a16c4c21
146046b184
153ab1180c
hex25d7b400

634893312 has 88 divisors (see below), whose sum is σ = 1701400896. Its totient is φ = 210485248.

The previous prime is 634893293. The next prime is 634893331. The reversal of 634893312 is 213398436.

It is an interprime number because it is at equal distance from previous prime (634893293) and next prime (634893331).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 715333 + ... + 716219.

Almost surely, 2634893312 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 634893312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850700448).

634893312 is an abundant number, since it is smaller than the sum of its proper divisors (1066507584).

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

634893312 is a wasteful number, since it uses less digits than its factorization.

634893312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1125 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 634893312 is about 25197.0893557173. The cubic root of 634893312 is about 859.4756637952.

The spelling of 634893312 in words is "six hundred thirty-four million, eight hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 256 384 466 512 699 768 887 932 1024 1398 1536 1774 1864 2661 2796 3072 3548 3728 5322 5592 7096 7456 10644 11184 14192 14912 21288 22368 28384 29824 42576 44736 56768 59648 85152 89472 113536 119296 170304 178944 206671 227072 238592 340608 357888 413342 454144 620013 681216 715776 826684 908288 1240026 1362432 1653368 2480052 2724864 3306736 4960104 6613472 9920208 13226944 19840416 26453888 39680832 52907776 79361664 105815552 158723328 211631104 317446656 634893312