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3415930560 = 2632572353139
BaseRepresentation
bin1100101110011010…
…1111011011000000
322211001200020210200
43023212233123000
523443434234220
61322543125200
7150435634140
oct31346573300
98731606720
103415930560
1114a3227209
127b3ba3800
13425912bb3
14245956920
1514ed52890
hexcb9af6c0

3415930560 has 672 divisors, whose sum is σ = 14378757120. Its totient is φ = 727474176.

The previous prime is 3415930549. The next prime is 3415930571. The reversal of 3415930560 is 650395143.

3415930560 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 93 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3415930549) and next prime (3415930571).

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24574971 + ... + 24575109.

It is an arithmetic number, because the mean of its divisors is an integer number (21396960).

Almost surely, 23415930560 is an apocalyptic number.

3415930560 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 3415930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189378560).

3415930560 is an abundant number, since it is smaller than the sum of its proper divisors (10962826560).

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

3415930560 is a wasteful number, since it uses less digits than its factorization.

3415930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3415930560 is about 58445.9627348203. The cubic root of 3415930560 is about 1506.0394374947.

The spelling of 3415930560 in words is "three billion, four hundred fifteen million, nine hundred thirty thousand, five hundred sixty".