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3430343005117 = 72399672120387
BaseRepresentation
bin110001111010110000011…
…000000101001110111101
3110010221022111120000101021
4301322300120011032331
5422200320302130432
611143513335344141
7502556045305630
oct61726030051675
913127274500337
103430343005117
111102889219a06
124749a6b22051
131bb63160a732
14bc05acadc17
155e36ee1c697
hex31eb06053bd

3430343005117 has 16 divisors (see below), whose sum is σ = 3940868321280. Its totient is φ = 2924962226928.

The previous prime is 3430343005079. The next prime is 3430343005139. The reversal of 3430343005117 is 7115003430343.

3430343005117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3430343005117 - 231 = 3428195521469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430343005217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557598 + ... + 2677984.

It is an arithmetic number, because the mean of its divisors is an integer number (246304270080).

Almost surely, 23430343005117 is an apocalyptic number.

It is an amenable number.

3430343005117 is a deficient number, since it is larger than the sum of its proper divisors (510525316163).

3430343005117 is a wasteful number, since it uses less digits than its factorization.

3430343005117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121600.

The product of its (nonzero) digits is 45360, while the sum is 34.

The spelling of 3430343005117 in words is "three trillion, four hundred thirty billion, three hundred forty-three million, five thousand, one hundred seventeen".

Divisors: 1 7 239 967 1673 6769 231113 1617791 2120387 14842709 506772493 2050414229 3547407451 14352899603 490049000731 3430343005117