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234625102304 = 25432334391667
BaseRepresentation
bin1101101010000010111…
…1101111000111100000
3211102121102112010110212
43122200233233013200
512321003011233204
6255441342113252
722644141315065
oct3324057570740
9742542463425
10234625102304
119055a83202a
123957b57b828
13191819801a8
14b4da8bcc6c
15618314dc6e
hex36a0bef1e0

234625102304 has 96 divisors (see below), whose sum is σ = 476055740160. Its totient is φ = 113764396032.

The previous prime is 234625102289. The next prime is 234625102321. The reversal of 234625102304 is 403201526432.

It is a super-3 number, since 3×2346251023043 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140746079 + ... + 140747745.

It is an arithmetic number, because the mean of its divisors is an integer number (4958913960).

Almost surely, 2234625102304 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 234625102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238027870080).

234625102304 is an abundant number, since it is smaller than the sum of its proper divisors (241430637856).

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

234625102304 is a wasteful number, since it uses less digits than its factorization.

234625102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 234625102304 its reverse (403201526432), we get a palindrome (637826628736).

The spelling of 234625102304 in words is "two hundred thirty-four billion, six hundred twenty-five million, one hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 43 86 172 233 344 439 466 688 878 932 1376 1667 1756 1864 3334 3512 3728 6668 7024 7456 10019 13336 14048 18877 20038 26672 37754 40076 53344 71681 75508 80152 102287 143362 151016 160304 204574 286724 302032 320608 388411 409148 573448 604064 731813 776822 818296 1146896 1463626 1553644 1636592 2293792 2927252 3107288 3273184 4398341 5854504 6214576 8796682 11709008 12429152 16701673 17593364 23418016 31467959 33403346 35186728 62935918 66806692 70373456 125871836 133613384 140746912 170512429 251743672 267226768 341024858 503487344 534453536 682049716 1006974688 1364099432 2728198864 5456397728 7332034447 14664068894 29328137788 58656275576 117312551152 234625102304