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78234 = 23131759
BaseRepresentation
bin10011000110011010
310222022120
4103012122
510000414
61402110
7444042
oct230632
9128276
1078234
1153862
1239336
13297c0
1420722
15182a9
hex1319a

78234 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 22272.

The previous prime is 78233. The next prime is 78241. The reversal of 78234 is 43287.

It is a super-2 number, since 2×782342 = 12241117512, which contains 22 as substring.

78234 is a modest number, since divided by 234 gives 78 as remainder.

It is not an unprimeable number, because it can be changed into a prime (78233) 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, 1297 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

278234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

78234 is an abundant number, since it is smaller than the sum of its proper divisors (103206).

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

78234 is a wasteful number, since it uses less digits than its factorization.

78234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94.

The product of its digits is 1344, while the sum is 24.

The square root of 78234 is about 279.7034143517. The cubic root of 78234 is about 42.7692707483.

Subtracting from 78234 its sum of digits (24), we obtain a triangular number (78210 = T395).

The spelling of 78234 in words is "seventy-eight thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 59 78 102 118 177 221 354 442 663 767 1003 1326 1534 2006 2301 3009 4602 6018 13039 26078 39117 78234