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30693312 = 2632134099
BaseRepresentation
bin111010100010…
…1011111000000
32010202101022100
41311011133000
530324141222
63013510400
7521613606
oct165053700
963671270
1030693312
1116364381
12a342400
136488730
14410d876
152a644ac
hex1d457c0

30693312 has 84 divisors (see below), whose sum is σ = 94767400. Its totient is φ = 9441792.

The previous prime is 30693287. The next prime is 30693367. The reversal of 30693312 is 21339603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5439 + ... + 9537.

Almost surely, 230693312 is an apocalyptic number.

30693312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30693312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47383700).

30693312 is an abundant number, since it is smaller than the sum of its proper divisors (64074088).

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

30693312 is a wasteful number, since it uses less digits than its factorization.

30693312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 30693312 is about 5540.1545104807. The cubic root of 30693312 is about 313.0986905835.

The spelling of 30693312 in words is "thirty million, six hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 4099 7488 8198 12297 16396 24594 32792 36891 49188 53287 65584 73782 98376 106574 131168 147564 159861 196752 213148 262336 295128 319722 393504 426296 479583 590256 639444 787008 852592 959166 1180512 1278888 1705184 1918332 2361024 2557776 3410368 3836664 5115552 7673328 10231104 15346656 30693312