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33490368 = 263319381
BaseRepresentation
bin111111111000…
…0010111000000
32100000111011000
41333300113000
532033142433
63153452000
7554443362
oct177602700
970014130
1033490368
11179a489a
12b271000
136c278b2
14463ad32
152e18113
hex1ff05c0

33490368 has 56 divisors (see below), whose sum is σ = 98460560. Its totient is φ = 11162880.

The previous prime is 33490361. The next prime is 33490381. The reversal of 33490368 is 86309433.

It is a super-2 number, since 2×334903682 = 2243209497550848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33490361) 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 7 ways as a sum of consecutive naturals, for example, 7963 + ... + 11418.

Almost surely, 233490368 is an apocalyptic number.

It is an amenable number.

33490368 is an abundant number, since it is smaller than the sum of its proper divisors (64970192).

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

33490368 is a wasteful number, since it uses less digits than its factorization.

33490368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19402 (or 19386 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 33490368 is about 5787.0863135087. The cubic root of 33490368 is about 322.3343876561.

It can be divided in two parts, 334903 and 68, that added together give a triangular number (334971 = T818).

The spelling of 33490368 in words is "thirty-three million, four hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 19381 38762 58143 77524 116286 155048 174429 232572 310096 348858 465144 523287 620192 697716 930288 1046574 1240384 1395432 1860576 2093148 2790864 3721152 4186296 5581728 8372592 11163456 16745184 33490368