Search a number
-
+
233442 = 23411131
BaseRepresentation
bin111000111111100010
3102212020000
4320333202
524432232
65000430
71661406
oct707742
9385200
10233442
1114a430
12b3116
1382341
1461106
154927c
hex38fe2

233442 has 40 divisors (see below), whose sum is σ = 574992. Its totient is φ = 70200.

The previous prime is 233437. The next prime is 233477. The reversal of 233442 is 244332.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1717 + ... + 1847.

2233442 is an apocalyptic number.

233442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 233442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287496).

233442 is an abundant number, since it is smaller than the sum of its proper divisors (341550).

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

233442 is a wasteful number, since it uses less digits than its factorization.

233442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 233442 is about 483.1583591329. The cubic root of 233442 is about 61.5733805826.

Adding to 233442 its reverse (244332), we get a palindrome (477774).

The spelling of 233442 in words is "two hundred thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 131 162 198 262 297 393 594 786 891 1179 1441 1782 2358 2882 3537 4323 7074 8646 10611 12969 21222 25938 38907 77814 116721 233442