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341045945856 = 2934721121973
BaseRepresentation
bin1001111011001111110…
…11000010011000000000
31012121022002010010020000
410331213323002120000
521041430230231411
6420401354120000
733432302465100
oct4754773023000
91177262103200
10341045945856
111217005aaa00
125611b720000
13262117b7335
14127145bb200
158d10e00956
hex4f67ec2600

341045945856 has 1800 divisors, whose sum is σ = 1388830406040. Its totient is φ = 82771476480.

The previous prime is 341045945819. The next prime is 341045945861. The reversal of 341045945856 is 658549540143.

341045945856 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 4 + 59 + 4 + 585 + 6 = 666.

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 179 ways as a sum of consecutive naturals, for example, 4671862236 + ... + 4671862308.

Almost surely, 2341045945856 is an apocalyptic number.

341045945856 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 341045945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694415203020).

341045945856 is an abundant number, since it is smaller than the sum of its proper divisors (1047784460184).

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

341045945856 is a wasteful number, since it uses less digits than its factorization.

341045945856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 341045945856 in words is "three hundred forty-one billion, forty-five million, nine hundred forty-five thousand, eight hundred fifty-six".