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3327420096 = 26327111329199
BaseRepresentation
bin1100011001010100…
…0110011011000000
322120220010110021100
43012111012123000
523303304420341
61310102054400
7145312414140
oct30625063300
98526113240
103327420096
111458272a70
1278a41a400
13410492c40
14237cb6920
151471bc3b6
hexc65466c0

3327420096 has 672 divisors, whose sum is σ = 13313664000. Its totient is φ = 766402560.

The previous prime is 3327420077. The next prime is 3327420133. The reversal of 3327420096 is 6900247233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×33274200962 = 22143448990529298432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3327420096.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16720605 + ... + 16720803.

It is an arithmetic number, because the mean of its divisors is an integer number (19812000).

Almost surely, 23327420096 is an apocalyptic number.

3327420096 is a gapful number since it is divisible by the number (36) 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 3327420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832000).

3327420096 is an abundant number, since it is smaller than the sum of its proper divisors (9986243904).

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

3327420096 is a wasteful number, since it uses less digits than its factorization.

3327420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3327420096 is about 57683.7940499756. The cubic root of 3327420096 is about 1492.9177390136.

The spelling of 3327420096 in words is "three billion, three hundred twenty-seven million, four hundred twenty thousand, ninety-six".