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33890640 = 2435720173
BaseRepresentation
bin1000000101001…
…0000101010000
32100202211012220
42001102011100
532134000030
63210221040
7561031350
oct201220520
970684186
1033890640
11181485a3
12b424780
137037b44
144702b60
152e96a10
hex2052150

33890640 has 80 divisors (see below), whose sum is σ = 120075648. Its totient is φ = 7746048.

The previous prime is 33890629. The next prime is 33890669. The reversal of 33890640 is 4609833.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×338906402 = 2297150959219200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8407 + ... + 11766.

Almost surely, 233890640 is an apocalyptic number.

33890640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33890640 is an abundant number, since it is smaller than the sum of its proper divisors (86185008).

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

33890640 is a wasteful number, since it uses less digits than its factorization.

33890640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20196 (or 20190 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 33890640 is about 5821.5667994106. The cubic root of 33890640 is about 323.6134698584.

The spelling of 33890640 in words is "thirty-three million, eight hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 20173 40346 60519 80692 100865 121038 141211 161384 201730 242076 282422 302595 322768 403460 423633 484152 564844 605190 706055 806920 847266 968304 1129688 1210380 1412110 1613840 1694532 2118165 2259376 2420760 2824220 3389064 4236330 4841520 5648440 6778128 8472660 11296880 16945320 33890640