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341103226464 = 25347311132683
BaseRepresentation
bin1001111011010110101…
…01100010111001100000
31012121110001220021110000
410331223111202321200
521042034411221324
6420411201540000
733433566405000
oct4755325427140
91177401807400
10341103226464
1112172a973750
1256136944600
13262206215a0
141271c04c000
158d15e679c9
hex4f6b562e60

341103226464 has 960 divisors, whose sum is σ = 1374920870400. Its totient is φ = 81752509440.

The previous prime is 341103226433. The next prime is 341103226469. The reversal of 341103226464 is 464622301143.

341103226464 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 0 + 3 + 2 + 2 + 646 + 4 = 666.

It is a super-2 number, since 2×3411032264642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341103226469) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 127133667 + ... + 127136349.

It is an arithmetic number, because the mean of its divisors is an integer number (1432209240).

Almost surely, 2341103226464 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 341103226464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687460435200).

341103226464 is an abundant number, since it is smaller than the sum of its proper divisors (1033817643936).

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

341103226464 is a wasteful number, since it uses less digits than its factorization.

341103226464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 341103226464 in words is "three hundred forty-one billion, one hundred three million, two hundred twenty-six thousand, four hundred sixty-four".