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342717809616 = 243371329521577
BaseRepresentation
bin1001111110010111001…
…00101100001111010000
31012202121121000121011000
410333023210230033100
521103341224401431
6421235320022000
733521603213340
oct4771344541720
91182547017130
10342717809616
111223892a5996
1256507601900
1326419c92030
141283265ad20
158daca979e6
hex4fcb92c3d0

342717809616 has 640 divisors, whose sum is σ = 1257069542400. Its totient is φ = 86951854080.

The previous prime is 342717809597. The next prime is 342717809639. The reversal of 342717809616 is 616908717243.

342717809616 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 17 + 8 + 0 + 9 + 616 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 593964720 + ... + 593965296.

It is an arithmetic number, because the mean of its divisors is an integer number (1964171160).

Almost surely, 2342717809616 is an apocalyptic number.

342717809616 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 342717809616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628534771200).

342717809616 is an abundant number, since it is smaller than the sum of its proper divisors (914351732784).

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

342717809616 is a wasteful number, since it uses less digits than its factorization.

342717809616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 342717809616 in words is "three hundred forty-two billion, seven hundred seventeen million, eight hundred nine thousand, six hundred sixteen".