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102834 = 23229197
BaseRepresentation
bin11001000110110010
312020001200
4121012302
511242314
62112030
7605544
oct310662
9166050
10102834
1170296
124b616
1337a64
1429694
1520709
hex191b2

102834 has 24 divisors (see below), whose sum is σ = 231660. Its totient is φ = 32928.

The previous prime is 102829. The next prime is 102841. The reversal of 102834 is 438201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91809 + 11025 = 303^2 + 105^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424 + ... + 620.

2102834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115830).

102834 is an abundant number, since it is smaller than the sum of its proper divisors (128826).

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

102834 is a wasteful number, since it uses less digits than its factorization.

102834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102834 is about 320.6774079975. The cubic root of 102834 is about 46.8502856386.

The spelling of 102834 in words is "one hundred two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 197 261 394 522 591 1182 1773 3546 5713 11426 17139 34278 51417 102834