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344233424203431 = 37217147193642739
BaseRepresentation
bin100111001000101000001011…
…0111110000010111010100111
31200010211101122012101110000120
41032101100112332002322213
5330104410023044002211
63220042352453213023
7132336021103534200
oct11621202676027247
91603741565343016
10344233424203431
119a7576368a8084
12327368b1331173
1311a100c36ca829
146100db54485a7
1529be47c01cd06
hex1391416f82ea7

344233424203431 has 48 divisors (see below), whose sum is σ = 565704032901120. Its totient is φ = 185008084611840.

The previous prime is 344233424203429. The next prime is 344233424203447. The reversal of 344233424203431 is 134302424332443.

It is not a de Polignac number, because 344233424203431 - 21 = 344233424203429 is a prime.

It is a super-2 number, since 2×3442334242034312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344233424203231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43145341 + ... + 50497398.

It is an arithmetic number, because the mean of its divisors is an integer number (11785500685440).

Almost surely, 2344233424203431 is an apocalyptic number.

344233424203431 is a deficient number, since it is larger than the sum of its proper divisors (221470608697689).

344233424203431 is a wasteful number, since it uses less digits than its factorization.

344233424203431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93644244 (or 93644237 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 42.

Adding to 344233424203431 its reverse (134302424332443), we get a palindrome (478535848535874).

The spelling of 344233424203431 in words is "three hundred forty-four trillion, two hundred thirty-three billion, four hundred twenty-four million, two hundred three thousand, four hundred thirty-one".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 1471 2499 4413 10297 25007 30891 72079 75021 175049 216237 525147 1225343 3676029 93642739 280928217 655499173 1591926563 1966497519 4588494211 4775779689 11143485941 13765482633 33430457823 78004401587 137748469069 234013204761 413245407207 964239283483 2341723974173 2892717850449 6749674984381 7025171922519 16392067819211 20249024953143 49176203457633 114744474734477 344233424203431