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3416708064 = 25373119433
BaseRepresentation
bin1100101110100110…
…1101001111100000
322211010010202100010
43023221231033200
523444134124224
61323011524520
7150445353000
oct31351551740
98733122303
103416708064
1114a3708380
127b42b9740
13425b25a63
14245aba000
1514ee57e29
hexcba6d3e0

3416708064 has 192 divisors, whose sum is σ = 11411366400. Its totient is φ = 887362560.

The previous prime is 3416708047. The next prime is 3416708077. The reversal of 3416708064 is 4608076143.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 357492 + ... + 366924.

It is an arithmetic number, because the mean of its divisors is an integer number (59434200).

Almost surely, 23416708064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416708064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705683200).

3416708064 is an abundant number, since it is smaller than the sum of its proper divisors (7994658336).

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

3416708064 is a wasteful number, since it uses less digits than its factorization.

3416708064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9478 (or 9456 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3416708064 is about 58452.6138337714. The cubic root of 3416708064 is about 1506.1536926332.

The spelling of 3416708064 in words is "three billion, four hundred sixteen million, seven hundred eight thousand, sixty-four".