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30930984 = 233572273
BaseRepresentation
bin111010111111…
…1100000101000
32011012110100000
41311333200220
530404242414
63022543000
7523623540
oct165774050
964173300
1030930984
11165069a7
12a437a60
13653c976
144172320
152aaeb09
hex1d7f828

30930984 has 96 divisors (see below), whose sum is σ = 99328320. Its totient is φ = 8833536.

The previous prime is 30930961. The next prime is 30931009. The reversal of 30930984 is 48903903.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12472 + ... + 14744.

It is an arithmetic number, because the mean of its divisors is an integer number (1034670).

Almost surely, 230930984 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 30930984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49664160).

30930984 is an abundant number, since it is smaller than the sum of its proper divisors (68397336).

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

30930984 is a wasteful number, since it uses less digits than its factorization.

30930984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 30930984 is about 5561.5630896359. The cubic root of 30930984 is about 313.9047677989.

The spelling of 30930984 in words is "thirty million, nine hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 2273 3402 4536 4546 6804 6819 9092 13608 13638 15911 18184 20457 27276 31822 40914 47733 54552 61371 63644 81828 95466 122742 127288 143199 163656 184113 190932 245484 286398 368226 381864 429597 490968 552339 572796 736452 859194 1104678 1145592 1288791 1472904 1718388 2209356 2577582 3436776 3866373 4418712 5155164 7732746 10310328 15465492 30930984