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234330400300 = 225259199199583
BaseRepresentation
bin1101101000111100101…
…1100010011000101100
3211101211212222201022211
43122033023202120230
512314402040302200
6255352213420204
722633632352423
oct3321713423054
9741755881284
10234330400300
1190419447057
12394b893a664
13191358b89c9
14b4ad6c82ba
156167339aba
hex368f2e262c

234330400300 has 72 divisors (see below), whose sum is σ = 519716736000. Its totient is φ = 91679987520.

The previous prime is 234330400289. The next prime is 234330400303. The reversal of 234330400300 is 3004033432.

234330400300 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 (234330400303) by changing a digit.

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, 1074309 + ... + 1273891.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288000).

Almost surely, 2234330400300 is an apocalyptic number.

234330400300 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 234330400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259858368000).

234330400300 is an abundant number, since it is smaller than the sum of its proper divisors (285386335700).

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

234330400300 is a wasteful number, since it uses less digits than its factorization.

234330400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199855 (or 199848 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 234330400300 its reverse (3004033432), we get a palindrome (237334433732).

The spelling of 234330400300 in words is "two hundred thirty-four billion, three hundred thirty million, four hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 199 236 295 398 590 796 995 1180 1475 1990 2950 3980 4975 5900 9950 11741 19900 23482 46964 58705 117410 199583 234820 293525 399166 587050 798332 997915 1174100 1995830 3991660 4989575 9979150 11775397 19958300 23550794 39717017 47101588 58876985 79434034 117753970 158868068 198585085 235507940 294384925 397170170 588769850 794340340 992925425 1177539700 1985850850 2343304003 3971701700 4686608006 9373216012 11716520015 23433040030 46866080060 58582600075 117165200150 234330400300