Search a number
-
+
342992 = 24131797
BaseRepresentation
bin1010011101111010000
3122102111102
41103233100
541433432
611203532
72625656
oct1235720
9572442
10342992
11214771
121465a8
13c0170
148cdd6
156b962
hex53bd0

342992 has 40 divisors (see below), whose sum is σ = 765576. Its totient is φ = 147456.

The previous prime is 342989. The next prime is 343019. The reversal of 342992 is 299243.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 309136 = 184^2 + 556^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342992.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3488 + ... + 3584.

2342992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382788).

342992 is an abundant number, since it is smaller than the sum of its proper divisors (422584).

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

342992 is a wasteful number, since it uses less digits than its factorization.

342992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 342992 is about 585.6551886563. The cubic root of 342992 is about 69.9994557781. Note that the first 3 decimals are identical.

The spelling of 342992 in words is "three hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 97 104 136 194 208 221 272 388 442 776 884 1261 1552 1649 1768 2522 3298 3536 5044 6596 10088 13192 20176 21437 26384 42874 85748 171496 342992