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341680066560 = 2123357412153
BaseRepresentation
bin1001111100011011011…
…10000001000000000000
31012122221021022210022000
410332031232001000000
521044230044112220
6420544325344000
733454102434360
oct4761556010000
91178837283260
10341680066560
111219a65431a8
1256277b68000
13262b2c9b6a1
14127748c69a0
158d4b90d390
hex4f8db81000

341680066560 has 832 divisors, whose sum is σ = 1422764904960. Its totient is φ = 76158074880.

The previous prime is 341680066489. The next prime is 341680066579. The reversal of 341680066560 is 65660086143.

341680066560 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 80 + 0 + 6 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158698444 + ... + 158700596.

Almost surely, 2341680066560 is an apocalyptic number.

341680066560 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 341680066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711382452480).

341680066560 is an abundant number, since it is smaller than the sum of its proper divisors (1081084838400).

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

341680066560 is a wasteful number, since it uses less digits than its factorization.

341680066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 341680066560 in words is "three hundred forty-one billion, six hundred eighty million, sixty-six thousand, five hundred sixty".