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6342370321 = 723123672
BaseRepresentation
bin1011110100000100…
…01110010000010001
3121101000021210110111
411322002032100101
5100442121322241
62525203001321
7313112154400
oct57202162021
917330253414
106342370321
112765114771
121290069241
137a0cb0261
14442491637
15271c15c81
hex17a08e411

6342370321 has 27 divisors (see below), whose sum is σ = 7644361257. Its totient is φ = 5246617320.

The previous prime is 6342370301. The next prime is 6342370327. The reversal of 6342370321 is 1230732436.

The square root of 6342370321 is 79639.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 6342370321 - 223 = 6333981713 is a prime.

It is a super-2 number, since 2×63423703212 = 80451322577403286082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6342370327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17281480 + ... + 17281846.

It is an arithmetic number, because the mean of its divisors is an integer number (283124491).

Almost surely, 26342370321 is an apocalyptic number.

6342370321 is the 79639-th square number.

6342370321 is the 39820-th centered octagonal number.

It is an amenable number.

6342370321 is a deficient number, since it is larger than the sum of its proper divisors (1301990936).

6342370321 is an frugal number, since it uses more digits than its factorization.

6342370321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The cubic root of 6342370321 is about 1851.0459457649.

The spelling of 6342370321 in words is "six billion, three hundred forty-two million, three hundred seventy thousand, three hundred twenty-one".

Divisors: 1 7 31 49 217 367 961 1519 2569 6727 11377 17983 47089 79639 134689 352687 557473 942823 2468809 4175359 6599761 17281663 29227513 129436129 204592591 906052903 6342370321