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341741935920 = 2435711219233847
BaseRepresentation
bin1001111100100010110…
…10000001110100110000
31012200002120202002002210
410332101122001310300
521044341413422140
6420554415412120
733455453345460
oct4762132016460
91180076662083
10341741935920
11121a28460600
1256294824040
13262c2a51488
141277cbcdba0
158d5207ed80
hex4f91681d30

341741935920 has 960 divisors, whose sum is σ = 1462146416640. Its totient is φ = 64332195840.

The previous prime is 341741935867. The next prime is 341741935933. The reversal of 341741935920 is 29539147143.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 341741935920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88831437 + ... + 88835283.

It is an arithmetic number, because the mean of its divisors is an integer number (1523069184).

Almost surely, 2341741935920 is an apocalyptic number.

341741935920 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 341741935920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731073208320).

341741935920 is an abundant number, since it is smaller than the sum of its proper divisors (1120404480720).

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

341741935920 is a wasteful number, since it uses less digits than its factorization.

341741935920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 341741935920 in words is "three hundred forty-one billion, seven hundred forty-one million, nine hundred thirty-five thousand, nine hundred twenty".