Search a number
-
+
232024412334 = 231113457591739
BaseRepresentation
bin1101100000010110111…
…0111001000010101110
3211011220011212101112010
43120011232321002232
512300141222143314
6254331320222050
722522531651431
oct3300556710256
9734804771463
10232024412334
118a445806180
1238b7460a926
1318b58c281a0
14b33133b818
15607eb84059
hex3605bb90ae

232024412334 has 64 divisors (see below), whose sum is σ = 546370110720. Its totient is φ = 64759806720.

The previous prime is 232024412327. The next prime is 232024412339. The reversal of 232024412334 is 433214420232.

232024412334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2320244123343 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232024412339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96237 + ... + 687975.

It is an arithmetic number, because the mean of its divisors is an integer number (8537032980).

Almost surely, 2232024412334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232024412334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273185055360).

232024412334 is an abundant number, since it is smaller than the sum of its proper divisors (314345698386).

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

232024412334 is a wasteful number, since it uses less digits than its factorization.

232024412334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592225.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 232024412334 its reverse (433214420232), we get a palindrome (665238832566).

The spelling of 232024412334 in words is "two hundred thirty-two billion, twenty-four million, four hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 457 858 914 1371 2742 5027 5941 10054 11882 15081 17823 30162 35646 65351 130702 196053 392106 591739 1183478 1775217 3550434 6509129 7692607 13018258 15385214 19527387 23077821 39054774 46155642 84618677 169237354 253856031 270424723 507712062 540849446 811274169 1622548338 2974671953 3515521399 5949343906 7031042798 8924015859 10546564197 17848031718 21093128394 38670735389 77341470778 116012206167 232024412334