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345043402104 = 233172359623209
BaseRepresentation
bin1010000010101100011…
…00000111110101111000
31012222121200000221022010
411001112030013311320
521123122102331404
6422302153325520
733633332345352
oct5012614076570
91188550027263
10345043402104
11123372006a55
1256a564068a0
13266caa27c6b
14129b346c0d2
158e96d22189
hex5056307d78

345043402104 has 128 divisors (see below), whose sum is σ = 969216192000. Its totient is φ = 101787316224.

The previous prime is 345043402097. The next prime is 345043402141. The reversal of 345043402104 is 401204340543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242052 + ... + 865260.

It is an arithmetic number, because the mean of its divisors is an integer number (7572001500).

Almost surely, 2345043402104 is an apocalyptic number.

345043402104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345043402104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484608096000).

345043402104 is an abundant number, since it is smaller than the sum of its proper divisors (624172789896).

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

345043402104 is a wasteful number, since it uses less digits than its factorization.

345043402104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623317 (or 623313 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 345043402104 its reverse (401204340543), we get a palindrome (746247742647).

The spelling of 345043402104 in words is "three hundred forty-five billion, forty-three million, four hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 59 68 69 92 102 118 136 138 177 184 204 236 276 354 391 408 472 552 708 782 1003 1173 1357 1416 1564 2006 2346 2714 3009 3128 4012 4071 4692 5428 6018 8024 8142 9384 10856 12036 16284 23069 24072 32568 46138 69207 92276 138414 184552 276828 553656 623209 1246418 1869627 2492836 3739254 4985672 7478508 10594553 14333807 14957016 21189106 28667614 31783659 36769331 42378212 43001421 57335228 63567318 73538662 84756424 86002842 110307993 114670456 127134636 147077324 172005684 220615986 243674719 254269272 294154648 344011368 441231972 487349438 625078627 731024157 845694613 882463944 974698876 1250157254 1462048314 1691389226 1875235881 1949397752 2500314508 2537083839 2924096628 3382778452 3750471762 5000629016 5074167678 5848193256 6765556904 7500943524 10148335356 14376808421 15001887048 20296670712 28753616842 43130425263 57507233684 86260850526 115014467368 172521701052 345043402104