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30093312 = 21233179
BaseRepresentation
bin111001011001…
…1000000000000
32002121220021010
41302303000000
530200441222
62553000520
7513534414
oct162630000
962556233
1030093312
1115a94607
12a0b3140
1363085c2
143dd4d44
15299680c
hex1cb3000

30093312 has 104 divisors (see below), whose sum is σ = 83875840. Its totient is φ = 9584640.

The previous prime is 30093307. The next prime is 30093319. The reversal of 30093312 is 21339003.

It is not an unprimeable number, because it can be changed into a prime (30093319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380889 + ... + 380967.

Almost surely, 230093312 is an apocalyptic number.

30093312 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 30093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41937920).

30093312 is an abundant number, since it is smaller than the sum of its proper divisors (53782528).

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

30093312 is an equidigital number, since it uses as much as digits as its factorization.

30093312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 30093312 is about 5485.7371428095. The cubic root of 30093312 is about 311.0450750243.

The spelling of 30093312 in words is "thirty million, ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 79 93 96 124 128 158 186 192 237 248 256 316 372 384 474 496 512 632 744 768 948 992 1024 1264 1488 1536 1896 1984 2048 2449 2528 2976 3072 3792 3968 4096 4898 5056 5952 6144 7347 7584 7936 9796 10112 11904 12288 14694 15168 15872 19592 20224 23808 29388 30336 31744 39184 40448 47616 58776 60672 63488 78368 80896 95232 117552 121344 126976 156736 161792 190464 235104 242688 313472 323584 380928 470208 485376 626944 940416 970752 1253888 1880832 2507776 3761664 5015552 7523328 10031104 15046656 30093312