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234231300 = 223252317821
BaseRepresentation
bin11011111011000…
…01011000000100
3121022202011221100
431331201120010
5434430400200
635124220100
75542635042
oct1575413004
9538664840
10234231300
11110243496
126653a630
13396b1204
1423173392
151586bd00
hexdf61604

234231300 has 108 divisors (see below), whose sum is σ = 737398116. Its totient is φ = 62188800.

The previous prime is 234231281. The next prime is 234231301. The reversal of 234231300 is 3132432.

It can be written as a sum of positive squares in 6 ways, for example, as 60466176 + 173765124 = 7776^2 + 13182^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (234231301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284890 + ... + 285710.

Almost surely, 2234231300 is an apocalyptic number.

234231300 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 234231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368699058).

234231300 is an abundant number, since it is smaller than the sum of its proper divisors (503166816).

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

234231300 is a wasteful number, since it uses less digits than its factorization.

234231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 234231300 is about 15304.6169504500. The cubic root of 234231300 is about 616.4269858258.

Adding to 234231300 its reverse (3132432), we get a palindrome (237363732).

The spelling of 234231300 in words is "two hundred thirty-four million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 317 450 634 821 900 951 1268 1585 1642 1902 2463 2853 3170 3284 3804 4105 4755 4926 5706 6340 7389 7925 8210 9510 9852 11412 12315 14265 14778 15850 16420 19020 20525 23775 24630 28530 29556 31700 36945 41050 47550 49260 57060 61575 71325 73890 82100 95100 123150 142650 147780 184725 246300 260257 285300 369450 520514 738900 780771 1041028 1301285 1561542 2342313 2602570 3123084 3903855 4684626 5205140 6506425 7807710 9369252 11711565 13012850 15615420 19519275 23423130 26025700 39038550 46846260 58557825 78077100 117115650 234231300