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341395465708032 = 29329103552713463
BaseRepresentation
bin100110110011111110101001…
…1011101100010001000000000
31122202210002100222210111101220
41031213331103131202020000
5324221410403210124112
63210030524541355040
7131624002616410551
oct11547752335421000
91582702328714356
10341395465708032
119986300525a14a
123235888a868a80
13118655ba084238
1460438b3246328
15297072d5c698c
hex1367f53762200

341395465708032 has 320 divisors, whose sum is σ = 950237918023680. Its totient is φ = 108779893899264.

The previous prime is 341395465708019. The next prime is 341395465708093. The reversal of 341395465708032 is 230807564593143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25358046133 + ... + 25358059595.

It is an arithmetic number, because the mean of its divisors is an integer number (2969493493824).

It is a 1-persistent number, because it is pandigital, but 2⋅341395465708032 = 682790931416064 is not.

Almost surely, 2341395465708032 is an apocalyptic number.

341395465708032 is a gapful number since it is divisible by the number (32) 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 341395465708032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475118959011840).

341395465708032 is an abundant number, since it is smaller than the sum of its proper divisors (608842452315648).

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

341395465708032 is a wasteful number, since it uses less digits than its factorization.

341395465708032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19143 (or 19127 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 341395465708032 in words is "three hundred forty-one trillion, three hundred ninety-five billion, four hundred sixty-five million, seven hundred eight thousand, thirty-two".