Search a number
-
+
242904 = 23329349
BaseRepresentation
bin111011010011011000
3110100012110
4323103120
530233104
65112320
72031114
oct732330
9410173
10242904
11156552
12b86a0
138673c
1464744
154be89
hex3b4d8

242904 has 32 divisors (see below), whose sum is σ = 630000. Its totient is φ = 77952.

The previous prime is 242887. The next prime is 242911. The reversal of 242904 is 409242.

It is a congruent number.

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, 522 + ... + 870.

2242904 is an apocalyptic number.

242904 is a gapful number since it is divisible by the number (24) 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 242904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315000).

242904 is an abundant number, since it is smaller than the sum of its proper divisors (387096).

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

242904 is a wasteful number, since it uses less digits than its factorization.

242904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 242904 is about 492.8529192366. The cubic root of 242904 is about 62.3942959941.

It can be divided in two parts, 24 and 2904, that multiplied together give a palindrome (69696).

The spelling of 242904 in words is "two hundred forty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 349 696 698 1047 1396 2094 2792 4188 8376 10121 20242 30363 40484 60726 80968 121452 242904