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3430343355432 = 23371931156722123
BaseRepresentation
bin110001111010110000011…
…001011010110000101000
3110010221022112012210220220
4301322300121122300220
5422200320344333212
611143513351050040
7502556051265150
oct61726031326050
913127275183826
103430343355432
111102889439124
124749a7070920
131bb631701016
14bc05ad61760
155e36ee8b38c
hex31eb065ac28

3430343355432 has 256 divisors, whose sum is σ = 10656900710400. Its totient is φ = 897947907840.

The previous prime is 3430343355391. The next prime is 3430343355487. The reversal of 3430343355432 is 2345533430343.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155046723 + ... + 155068845.

It is an arithmetic number, because the mean of its divisors is an integer number (41628518400).

Almost surely, 23430343355432 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 3430343355432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328450355200).

3430343355432 is an abundant number, since it is smaller than the sum of its proper divisors (7226557354968).

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

3430343355432 is a wasteful number, since it uses less digits than its factorization.

3430343355432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23756 (or 23752 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 42.

Adding to 3430343355432 its reverse (2345533430343), we get a palindrome (5775876785775).

The spelling of 3430343355432 in words is "three trillion, four hundred thirty billion, three hundred forty-three million, three hundred fifty-five thousand, four hundred thirty-two".