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3391568640 = 28325319497
BaseRepresentation
bin1100101000100111…
…0011101100000000
322202100211112112100
43022021303230000
523421220144030
61320313030400
7150021600135
oct31211635400
98670745470
103391568640
1114904a7799
127a79b5400
13420863265
1424261458c
1514cb3e360
hexca273b00

3391568640 has 216 divisors, whose sum is σ = 12114281088. Its totient is φ = 875151360.

The previous prime is 3391568623. The next prime is 3391568693. The reversal of 3391568640 is 468651933.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 352372 + ... + 361868.

Almost surely, 23391568640 is an apocalyptic number.

3391568640 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 3391568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057140544).

3391568640 is an abundant number, since it is smaller than the sum of its proper divisors (8722712448).

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

3391568640 is a wasteful number, since it uses less digits than its factorization.

3391568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9555 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3391568640 is about 58237.1757556975. The cubic root of 3391568640 is about 1502.4506075016.

The spelling of 3391568640 in words is "three billion, three hundred ninety-one million, five hundred sixty-eight thousand, six hundred forty".