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33930988 = 2271331297
BaseRepresentation
bin1000000101101…
…1111011101100
32100211212120021
42001123323230
532141242423
63211131524
7561260110
oct201337354
970755507
1033930988
1118175943
12b443ba4
137050310
144713740
152ea395d
hex205beec

33930988 has 72 divisors (see below), whose sum is σ = 76294176. Its totient is φ = 12856320.

The previous prime is 33930977. The next prime is 33930989. The reversal of 33930988 is 88903933.

It is a super-2 number, since 2×339309882 = 2302623893312288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33930989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349756 + ... + 349852.

Almost surely, 233930988 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 33930988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38147088).

33930988 is an abundant number, since it is smaller than the sum of its proper divisors (42363188).

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

33930988 is a wasteful number, since it uses less digits than its factorization.

33930988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 33930988 is about 5825.0311587149. The cubic root of 33930988 is about 323.7418433369.

The spelling of 33930988 in words is "thirty-three million, nine hundred thirty thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 97 124 182 194 217 364 388 403 434 679 806 868 961 1261 1358 1612 1922 2522 2716 2821 3007 3844 5044 5642 6014 6727 8827 11284 12028 12493 13454 17654 21049 24986 26908 35308 39091 42098 49972 78182 84196 87451 93217 156364 174902 186434 273637 349804 372868 547274 652519 1094548 1211821 1305038 2423642 2610076 4847284 8482747 16965494 33930988