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33689340 = 22325187163
BaseRepresentation
bin1000000010000…
…0111011111100
32100101121002100
42000200323330
532111024330
63202025100
7556232436
oct200407374
970347070
1033689340
1118020333
12b348190
136c97329
14468d656
152e57060
hex2020efc

33689340 has 36 divisors (see below), whose sum is σ = 102191544. Its totient is φ = 8983776.

The previous prime is 33689333. The next prime is 33689353. The reversal of 33689340 is 4398633.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×336893402 = 2269943259271200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 33689295 and 33689304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93402 + ... + 93761.

It is an arithmetic number, because the mean of its divisors is an integer number (2838654).

Almost surely, 233689340 is an apocalyptic number.

33689340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33689340 is an abundant number, since it is smaller than the sum of its proper divisors (68502204).

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

33689340 is a wasteful number, since it uses less digits than its factorization.

33689340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187178 (or 187173 counting only the distinct ones).

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

The square root of 33689340 is about 5804.2518897787. The cubic root of 33689340 is about 322.9714755297.

It can be divided in two parts, 336 and 89340, that added together give a triangular number (89676 = T423).

The spelling of 33689340 in words is "thirty-three million, six hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 187163 374326 561489 748652 935815 1122978 1684467 1871630 2245956 2807445 3368934 3743260 5614890 6737868 8422335 11229780 16844670 33689340