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3368113920 = 28335412377
BaseRepresentation
bin1100100011000001…
…0101011100000000
322200201200220201000
43020300111130000
523344214121140
61314114212000
7146315332053
oct31060253400
98621626630
103368113920
111479237926
1279bb84000
13418a40522
1423d46aa9a
1514aa59a30
hexc8c15700

3368113920 has 288 divisors, whose sum is σ = 12248792640. Its totient is φ = 875888640.

The previous prime is 3368113897. The next prime is 3368113927. The reversal of 3368113920 is 293118633.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×33681139202 = 22688382756195532800, 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 (3368113927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1415772 + ... + 1418148.

It is an arithmetic number, because the mean of its divisors is an integer number (42530530).

Almost surely, 23368113920 is an apocalyptic number.

3368113920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3368113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124396320).

3368113920 is an abundant number, since it is smaller than the sum of its proper divisors (8880678720).

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

3368113920 is a wasteful number, since it uses less digits than its factorization.

3368113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3368113920 is about 58035.4539915042. The cubic root of 3368113920 is about 1498.9791453949.

The spelling of 3368113920 in words is "three billion, three hundred sixty-eight million, one hundred thirteen thousand, nine hundred twenty".