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3430214120343 = 3371011621188753
BaseRepresentation
bin110001111010101000101…
…100011011001110010111
3110010220222112000222201010
4301322220230123032113
5422200034303322333
611143452453103303
7502552621641363
oct61725054331627
913126875028633
103430214120343
11110282249996a
1247496b927b33
131bb6109c275a
14bc047b202a3
155e36395e563
hex31ea8b1b397

3430214120343 has 32 divisors (see below), whose sum is σ = 4746688949952. Its totient is φ = 2201603328000.

The previous prime is 3430214120309. The next prime is 3430214120423.

It is a happy number.

3430214120343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3430214120343 - 26 = 3430214120279 is a prime.

It is a super-2 number, since 2×34302141203432 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3430214120343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430214120843) by changing a digit.

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, 18078655 + ... + 18267407.

It is an arithmetic number, because the mean of its divisors is an integer number (148334029686).

Almost surely, 23430214120343 is an apocalyptic number.

3430214120343 is a deficient number, since it is larger than the sum of its proper divisors (1316474829609).

3430214120343 is a wasteful number, since it uses less digits than its factorization.

3430214120343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190515.

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 3430214120343 in words is "three trillion, four hundred thirty billion, two hundred fourteen million, one hundred twenty thousand, three hundred forty-three".

Divisors: 1 3 37 101 111 303 1621 3737 4863 11211 59977 163721 179931 188753 491163 566259 6057677 6983861 18173031 19064053 20951583 57192159 305968613 705369961 917905839 2116109883 11320838681 30902829913 33962516043 92708489739 1143404706781 3430214120343