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30674112 = 263729787
BaseRepresentation
bin111010100000…
…0110011000000
32010201101222020
41311000303000
530323032422
63013241440
7521503620
oct165006300
963641866
1030674112
1116350a07
12a333280
13647ca81
144106880
152a5d95c
hex1d40cc0

30674112 has 112 divisors (see below), whose sum is σ = 96072960. Its totient is φ = 8451072.

The previous prime is 30674099. The next prime is 30674131. The reversal of 30674112 is 21147603.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×306741122 = 1881802293977088, which contains 22 as substring.

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

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, 38583 + ... + 39369.

Almost surely, 230674112 is an apocalyptic number.

30674112 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 30674112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48036480).

30674112 is an abundant number, since it is smaller than the sum of its proper divisors (65398848).

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

30674112 is a wasteful number, since it uses less digits than its factorization.

30674112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 30674112 is about 5538.4214357522. The cubic root of 30674112 is about 313.0333913551.

The spelling of 30674112 in words is "thirty million, six hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 787 812 928 1218 1344 1392 1574 1624 1856 2361 2436 2784 3148 3248 4722 4872 5509 5568 6296 6496 9444 9744 11018 12592 12992 16527 18888 19488 22036 22823 25184 33054 37776 38976 44072 45646 50368 66108 68469 75552 88144 91292 132216 136938 151104 159761 176288 182584 264432 273876 319522 352576 365168 479283 528864 547752 639044 730336 958566 1057728 1095504 1278088 1460672 1917132 2191008 2556176 3834264 4382016 5112352 7668528 10224704 15337056 30674112