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234302300 = 225219127971
BaseRepresentation
bin11011111011100…
…10101101011100
3121022212210022222
431331302231130
5434440133200
635125524512
75543352041
oct1575625534
9538783288
10234302300
11110291871
1266573738
133970761b
14231911c8
1515882d85
hexdf72b5c

234302300 has 72 divisors (see below), whose sum is σ = 539965440. Its totient is φ = 87998400.

The previous prime is 234302293. The next prime is 234302303. The reversal of 234302300 is 3203432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234302303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240815 + ... + 241785.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2234302300 is an apocalyptic number.

234302300 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 234302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

234302300 is an abundant number, since it is smaller than the sum of its proper divisors (305663140).

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

234302300 is a wasteful number, since it uses less digits than its factorization.

234302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 234302300 is about 15306.9363361843. The cubic root of 234302300 is about 616.4892631482.

Adding to 234302300 its reverse (3203432), we get a palindrome (237505732).

The spelling of 234302300 in words is "two hundred thirty-four million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 127 190 254 380 475 508 635 950 971 1270 1900 1942 2413 2540 3175 3884 4826 4855 6350 9652 9710 12065 12700 18449 19420 24130 24275 36898 48260 48550 60325 73796 92245 97100 120650 123317 184490 241300 246634 368980 461225 493268 616585 922450 1233170 1844900 2343023 2466340 3082925 4686046 6165850 9372092 11715115 12331700 23430230 46860460 58575575 117151150 234302300