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33490816 = 271715391
BaseRepresentation
bin111111111000…
…0011110000000
32100000111202121
41333300132000
532033201231
63153454024
7554444602
oct177603600
970014677
1033490816
11179a5167
12b271314
136c27b68
14463b172
152e18311
hex1ff0780

33490816 has 32 divisors (see below), whose sum is σ = 70649280. Its totient is φ = 15759360.

The previous prime is 33490813. The next prime is 33490817. The reversal of 33490816 is 61809433.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×334908162 = 2243269512691712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33490813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5520 + ... + 9871.

It is an arithmetic number, because the mean of its divisors is an integer number (2207790).

Almost surely, 233490816 is an apocalyptic number.

It is an amenable number.

33490816 is an abundant number, since it is smaller than the sum of its proper divisors (37158464).

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

33490816 is a wasteful number, since it uses less digits than its factorization.

33490816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15422 (or 15410 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 33490816 is about 5787.1250202497. The cubic root of 33490816 is about 322.3358249367.

The spelling of 33490816 in words is "thirty-three million, four hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 15391 30782 61564 123128 246256 261647 492512 523294 985024 1046588 1970048 2093176 4186352 8372704 16745408 33490816