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234004434104 = 23721761575651
BaseRepresentation
bin1101100111101111000…
…0000100110010111000
3211101000011121220202202
43121323300010302320
512313220113342404
6255300011045332
722622563604600
oct3317360046270
9741004556682
10234004434104
1190271447901
1239427740848
13190b31c8cbc
14b47c2b5c00
1561488ec21e
hex367bc04cb8

234004434104 has 96 divisors (see below), whose sum is σ = 549275625360. Its totient is φ = 92840832000.

The previous prime is 234004434077. The next prime is 234004434127. The reversal of 234004434104 is 401434400432.

It is a happy number.

234004434104 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 118679 + ... + 694329.

Almost surely, 2234004434104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234004434104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274637812680).

234004434104 is an abundant number, since it is smaller than the sum of its proper divisors (315271191256).

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

234004434104 is a wasteful number, since it uses less digits than its factorization.

234004434104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575749 (or 575738 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 234004434104 its reverse (401434400432), we get a palindrome (635438834536).

The spelling of 234004434104 in words is "two hundred thirty-four billion, four million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 61 68 98 119 122 136 196 238 244 392 427 476 488 833 854 952 1037 1666 1708 2074 2989 3332 3416 4148 5978 6664 7259 8296 11956 14518 23912 29036 50813 58072 101626 203252 406504 575651 1151302 2302604 4029557 4605208 8059114 9786067 16118228 19572134 28206899 32236456 35114711 39144268 56413798 68502469 70229422 78288536 112827596 137004938 140458844 225655192 245802977 274009876 280917688 479517283 491605954 548019752 596950087 959034566 983211908 1193900174 1720620839 1918069132 1966423816 2387800348 3441241678 3836138264 4178650609 4775600696 6882483356 8357301218 13764966712 16714602436 29250554263 33429204872 58501108526 117002217052 234004434104