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232344004014 = 23423191326479
BaseRepresentation
bin1101100001100011001…
…0000010010110101110
3211012201110020022220000
43120120302002112232
512301320031112024
6254423134205130
722533462306543
oct3303062022656
9735643208800
10232344004014
118a59a151131
12390436537a6
1318baa1c55a5
14b361970bca
15609cc62cc9
hex3618c825ae

232344004014 has 80 divisors (see below), whose sum is σ = 546104401920. Its totient is φ = 73692614160.

The previous prime is 232344003989. The next prime is 232344004019. The reversal of 232344004014 is 410400443232.

It is a happy number.

232344004014 is a `hidden beast` number, since 23 + 234 + 4 + 0 + 0 + 401 + 4 = 666.

It is a super-2 number, since 2×2323440040142 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232344004019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 548427 + ... + 874905.

It is an arithmetic number, because the mean of its divisors is an integer number (6826305024).

Almost surely, 2232344004014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232344004014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273052200960).

232344004014 is an abundant number, since it is smaller than the sum of its proper divisors (313760397906).

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

232344004014 is a wasteful number, since it uses less digits than its factorization.

232344004014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326707 (or 326698 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 232344004014 its reverse (410400443232), we get a palindrome (642744447246).

The spelling of 232344004014 in words is "two hundred thirty-two billion, three hundred forty-four million, four thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 191 207 382 414 573 621 1146 1242 1719 1863 3438 3726 4393 5157 8786 10314 13179 15471 26358 30942 39537 79074 118611 237222 326479 355833 652958 711666 979437 1958874 2938311 5876622 7509017 8814933 15018034 17629866 22527051 26444799 45054102 52889598 62357489 67581153 124714978 135162306 187072467 202743459 374144934 405486918 561217401 608230377 1122434802 1216460754 1434222247 1683652203 2868444494 3367304406 4302666741 5050956609 8605333482 10101913218 12908000223 25816000446 38724000669 77448001338 116172002007 232344004014