Search a number
-
+
355842 = 23253373
BaseRepresentation
bin1010110111000000010
3200002010100
41112320002
542341332
611343230
73011304
oct1267002
9602110
10355842
11223393
12151b16
13c5c76
1493974
157067c
hex56e02

355842 has 24 divisors (see below), whose sum is σ = 787644. Its totient is φ = 116064.

The previous prime is 355841. The next prime is 355847. The reversal of 355842 is 248553.

It can be written as a sum of positive squares in 2 ways, for example, as 349281 + 6561 = 591^2 + 81^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 355842.

It is not an unprimeable number, because it can be changed into a prime (355841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768 + ... + 1140.

2355842 is an apocalyptic number.

355842 is an abundant number, since it is smaller than the sum of its proper divisors (431802).

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

355842 is a wasteful number, since it uses less digits than its factorization.

355842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 431 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 355842 is about 596.5249366120. The cubic root of 355842 is about 70.8629240458.

It can be divided in two parts, 3558 and 42, that added together give a square (3600 = 602).

The spelling of 355842 in words is "three hundred fifty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 373 477 746 954 1119 2238 3357 6714 19769 39538 59307 118614 177921 355842