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341817378005376 = 2734713675407331
BaseRepresentation
bin100110110111000011000111…
…1011001001110000110000000
31122211021102101210012220110000
41031232012033121032012000
5324300313442232133001
63210552422522240000
7131666330163643440
oct11556061731160600
91584242353186400
10341817378005376
1199a05a327a5899
12324065b8356000
13118963183181a0
14605a09967a120
15297b6c3a77a86
hex136e18f64e180

341817378005376 has 640 divisors, whose sum is σ = 1270678030997760. Its totient is φ = 88804104744960.

The previous prime is 341817378005371. The next prime is 341817378005377. The reversal of 341817378005376 is 673500873718143.

341817378005376 is a `hidden beast` number, since 3 + 4 + 1 + 8 + 17 + 3 + 7 + 80 + 0 + 537 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341817378005371) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60510031 + ... + 65917361.

It is an arithmetic number, because the mean of its divisors is an integer number (1985434423434).

Almost surely, 2341817378005376 is an apocalyptic number.

341817378005376 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 341817378005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635339015498880).

341817378005376 is an abundant number, since it is smaller than the sum of its proper divisors (928860652992384).

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

341817378005376 is a wasteful number, since it uses less digits than its factorization.

341817378005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5407444 (or 5407423 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 341817378005376 in words is "three hundred forty-one trillion, eight hundred seventeen billion, three hundred seventy-eight million, five thousand, three hundred seventy-six".