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30193968 = 2437731231
BaseRepresentation
bin111001100101…
…1100100110000
32002211000100010
41303023210300
530212201333
62555054520
7514434030
oct163134460
962730303
1030193968
11160531a2
12a141440
13634236c
14401d8c0
1529b6563
hex1ccb930

30193968 has 80 divisors (see below), whose sum is σ = 90438656. Its totient is φ = 8501760.

The previous prime is 30193949. The next prime is 30193973. The reversal of 30193968 is 86939103.

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, 23913 + ... + 25143.

Almost surely, 230193968 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 30193968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45219328).

30193968 is an abundant number, since it is smaller than the sum of its proper divisors (60244688).

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

30193968 is a wasteful number, since it uses less digits than its factorization.

30193968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 30193968 is about 5494.9038208143. The cubic root of 30193968 is about 311.3914832327.

The spelling of 30193968 in words is "thirty million, one hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1231 1533 1752 2044 2462 3066 3504 3693 4088 4924 6132 7386 8176 8617 9848 12264 14772 17234 19696 24528 25851 29544 34468 51702 59088 68936 89863 103404 137872 179726 206808 269589 359452 413616 539178 629041 718904 1078356 1258082 1437808 1887123 2156712 2516164 3774246 4313424 5032328 7548492 10064656 15096984 30193968