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234331324303400 = 23522575347852623
BaseRepresentation
bin110101010001111110000011…
…010110000100100000101000
31010201200212002220011000211222
4311101332003112010200220
5221203241023010202100
62150214154012241212
7100233610444103312
oct6521760326044050
91121625086130758
10234331324303400
11687353a1623015
1222346b92470208
13a09a46cb8460c
1441c19a77067b2
151c157674ec485
hexd51f83584828

234331324303400 has 96 divisors (see below), whose sum is σ = 547043183245440. Its totient is φ = 93350240501760.

The previous prime is 234331324303387. The next prime is 234331324303421. The reversal of 234331324303400 is 4303423133432.

It is a super-2 number, since 2×2343313243034002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274409489 + ... + 275262111.

It is an arithmetic number, because the mean of its divisors is an integer number (5698366492140).

Almost surely, 2234331324303400 is an apocalyptic number.

234331324303400 is a gapful number since it is divisible by the number (20) 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 234331324303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273521591622720).

234331324303400 is an abundant number, since it is smaller than the sum of its proper divisors (312711858942040).

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

234331324303400 is a wasteful number, since it uses less digits than its factorization.

234331324303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858243 (or 858234 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 35.

Adding to 234331324303400 its reverse (4303423133432), we get a palindrome (238634747436832).

The spelling of 234331324303400 in words is "two hundred thirty-four trillion, three hundred thirty-one billion, three hundred twenty-four million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 257 514 1028 1285 2056 2570 5140 5347 6425 10280 10694 12850 21388 25700 26735 42776 51400 53470 106940 133675 213880 267350 534700 852623 1069400 1374179 1705246 2748358 3410492 4263115 5496716 6820984 6870895 8526230 10993432 13741790 17052460 21315575 27483580 34104920 34354475 42631150 54967160 68708950 85262300 137417900 170524600 219124111 274835800 438248222 876496444 1095620555 1752992888 2191241110 4382482220 4558975181 5478102775 8764964440 9117950362 10956205550 18235900724 21912411100 22794875905 36471801448 43824822200 45589751810 91179503620 113974379525 182359007240 227948759050 455897518100 911795036200 1171656621517 2343313243034 4686626486068 5858283107585 9373252972136 11716566215170 23433132430340 29291415537925 46866264860680 58582831075850 117165662151700 234331324303400