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30494112 = 2531167431
BaseRepresentation
bin111010001010…
…0110110100000
32010101021001120
41310110312200
530301302422
63005332240
7520124055
oct164246640
963337046
1030494112
1116238750
12a267080
136418b6c
14409b02c
152a2545c
hex1d14da0

30494112 has 96 divisors (see below), whose sum is σ = 88833024. Its totient is φ = 9081600.

The previous prime is 30494081. The next prime is 30494129. The reversal of 30494112 is 21149403.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70537 + ... + 70967.

It is an arithmetic number, because the mean of its divisors is an integer number (925344).

Almost surely, 230494112 is an apocalyptic number.

30494112 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 30494112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44416512).

30494112 is an abundant number, since it is smaller than the sum of its proper divisors (58338912).

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

30494112 is a wasteful number, since it uses less digits than its factorization.

30494112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30494112 is about 5522.1474083911. The cubic root of 30494112 is about 312.4198817545.

The spelling of 30494112 in words is "thirty million, four hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 88 96 132 134 176 201 264 268 352 402 431 528 536 737 804 862 1056 1072 1293 1474 1608 1724 2144 2211 2586 2948 3216 3448 4422 4741 5172 5896 6432 6896 8844 9482 10344 11792 13792 14223 17688 18964 20688 23584 28446 28877 35376 37928 41376 56892 57754 70752 75856 86631 113784 115508 151712 173262 227568 231016 317647 346524 455136 462032 635294 693048 924064 952941 1270588 1386096 1905882 2541176 2772192 3811764 5082352 7623528 10164704 15247056 30494112