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3360320640 = 27355173141
BaseRepresentation
bin1100100001001010…
…0110110010000000
322200012000222100000
43020102212302000
523340220230030
61313235200000
7146162153115
oct31022466200
98605028300
103360320640
1114748a46a6
12799446000
13417242211
1423c3dc90c
1514a01a860
hexc84a6c80

3360320640 has 768 divisors, whose sum is σ = 13473008640. Its totient is φ = 796262400.

The previous prime is 3360320627. The next prime is 3360320659. The reversal of 3360320640 is 460230633.

3360320640 is a `hidden beast` number, since 33 + 603 + 20 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×33603206402 = 22583509607220019200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

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 95 ways as a sum of consecutive naturals, for example, 81959020 + ... + 81959060.

It is an arithmetic number, because the mean of its divisors is an integer number (17542980).

Almost surely, 23360320640 is an apocalyptic number.

3360320640 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 3360320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736504320).

3360320640 is an abundant number, since it is smaller than the sum of its proper divisors (10112688000).

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

3360320640 is a wasteful number, since it uses less digits than its factorization.

3360320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3360320640 is about 57968.2727015391. The cubic root of 3360320640 is about 1497.8221194212.

The spelling of 3360320640 in words is "three billion, three hundred sixty million, three hundred twenty thousand, six hundred forty".