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3422530355400 = 233252131910937043
BaseRepresentation
bin110001110011011110101…
…101001100000011001000
3110010012011000200021202100
4301303132231030003020
5422033320232333100
611140142211233400
7502161331006332
oct61633655140310
913105130607670
103422530355400
1110aa53a184602
124733865a8860
131ba987b42c90
14bb919454452
155e0640cd400
hex31cdeb4c0c8

3422530355400 has 576 divisors, whose sum is σ = 13043405793600. Its totient is φ = 797285099520.

The previous prime is 3422530355359. The next prime is 3422530355401. The reversal of 3422530355400 is 45530352243.

3422530355400 is a `hidden beast` number, since 3 + 42 + 2 + 530 + 35 + 54 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3422530355401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 485944279 + ... + 485951321.

It is an arithmetic number, because the mean of its divisors is an integer number (22644801725).

Almost surely, 23422530355400 is an apocalyptic number.

3422530355400 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 3422530355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521702896800).

3422530355400 is an abundant number, since it is smaller than the sum of its proper divisors (9620875438200).

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

3422530355400 is a wasteful number, since it uses less digits than its factorization.

3422530355400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8190 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 3422530355400 in words is "three trillion, four hundred twenty-two billion, five hundred thirty million, three hundred fifty-five thousand, four hundred".