Search a number
-
+
235074024 = 23323788241
BaseRepresentation
bin11100000001011…
…11000111101000
3121101022222221100
432000233013220
5440134332044
635154241400
75553045003
oct1600570750
9541288840
10235074024
11110769659
1266886260
1339917973
142331253a
1515986869
hexe02f1e8

235074024 has 48 divisors (see below), whose sum is σ = 653873220. Its totient is φ = 76239360.

The previous prime is 235074001. The next prime is 235074031. The reversal of 235074024 is 420470532.

It can be written as a sum of positive squares in 2 ways, for example, as 173765124 + 61308900 = 13182^2 + 7830^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41457 + ... + 46784.

Almost surely, 2235074024 is an apocalyptic number.

235074024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

235074024 is an abundant number, since it is smaller than the sum of its proper divisors (418799196).

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

235074024 is a wasteful number, since it uses less digits than its factorization.

235074024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88290 (or 88283 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 235074024 is about 15332.1239233186. The cubic root of 235074024 is about 617.1653671610.

The spelling of 235074024 in words is "two hundred thirty-five million, seventy-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 88241 176482 264723 352964 529446 705928 794169 1058892 1588338 2117784 3176676 3264917 6353352 6529834 9794751 13059668 19589502 26119336 29384253 39179004 58768506 78358008 117537012 235074024