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234043343340432 = 24319355217224641
BaseRepresentation
bin110101001101110001110110…
…010101111000001110010000
31010200200022210000011100100120
4311031301312111320032100
5221134031231343343212
62145434005544550240
7100204034141233143
oct6515616625701620
91120608700140316
10234043343340432
116863425190017a
12222bb202182380
13a079267124552
1441b1a8893a05a
151c0d0100be88c
hexd4dc76578390

234043343340432 has 80 divisors (see below), whose sum is σ = 636451658147520. Its totient is φ = 73906333286400.

The previous prime is 234043343340431. The next prime is 234043343340439.

234043343340432 is nontrivially palindromic in base 10.

234043343340432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (234043343340431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28782832 + ... + 36007472.

It is an arithmetic number, because the mean of its divisors is an integer number (7955645726844).

Almost surely, 2234043343340432 is an apocalyptic number.

It is an amenable number.

234043343340432 is an abundant number, since it is smaller than the sum of its proper divisors (402408314807088).

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

234043343340432 is a wasteful number, since it uses less digits than its factorization.

234043343340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7260192 (or 7260186 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 42.

The spelling of 234043343340432 in words is "two hundred thirty-four trillion, forty-three billion, three hundred forty-three million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 35521 71042 106563 142084 213126 284168 426252 568336 674899 852504 1349798 1705008 2024697 2699596 4049394 5399192 7224641 8098788 10798384 14449282 16197576 21673923 28898564 32395152 43347846 57797128 86695692 115594256 137268179 173391384 274536358 346782768 411804537 549072716 823609074 1098145432 1647218148 2196290864 3294436296 6588872592 256626472961 513252945922 769879418883 1026505891844 1539758837766 2053011783688 3079517675532 4106023567376 4875902986259 6159035351064 9751805972518 12318070702128 14627708958777 19503611945036 29255417917554 39007223890072 58510835835108 78014447780144 117021671670216 234043343340432