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234840 = 233519103
BaseRepresentation
bin111001010101011000
3102221010210
4321111120
530003330
65011120
71665444
oct712530
9387123
10234840
11150491
12b3aa0
1382b78
1461824
15498b0
hex39558

234840 has 64 divisors (see below), whose sum is σ = 748800. Its totient is φ = 58752.

The previous prime is 234833. The next prime is 234847. The reversal of 234840 is 48432.

It is a happy number.

234840 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234833) and next prime (234847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2229 + ... + 2331.

It is an arithmetic number, because the mean of its divisors is an integer number (11700).

2234840 is an apocalyptic number.

234840 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 234840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374400).

234840 is an abundant number, since it is smaller than the sum of its proper divisors (513960).

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

234840 is a wasteful number, since it uses less digits than its factorization.

234840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 234840 is about 484.6029302429. The cubic root of 234840 is about 61.6960496286.

The spelling of 234840 in words is "two hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 103 114 120 152 190 206 228 285 309 380 412 456 515 570 618 760 824 1030 1140 1236 1545 1957 2060 2280 2472 3090 3914 4120 5871 6180 7828 9785 11742 12360 15656 19570 23484 29355 39140 46968 58710 78280 117420 234840