Search a number
-
+
232434144 = 25331914159
BaseRepresentation
bin11011101101010…
…10100111100000
3121012100212201000
431312222213200
5434000343034
635021512000
75521441365
oct1566524740
9535325630
10232434144
1110a226238
1265a12600
13392021c7
1422c2646c
1515614599
hexddaa9e0

232434144 has 96 divisors (see below), whose sum is σ = 713664000. Its totient is φ = 73395072.

The previous prime is 232434121. The next prime is 232434157. The reversal of 232434144 is 441434232.

It is a happy number.

232434144 is a `hidden beast` number, since 2 + 3 + 243 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9337 + ... + 23495.

It is an arithmetic number, because the mean of its divisors is an integer number (7434000).

Almost surely, 2232434144 is an apocalyptic number.

232434144 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 232434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356832000).

232434144 is an abundant number, since it is smaller than the sum of its proper divisors (481229856).

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

232434144 is a wasteful number, since it uses less digits than its factorization.

232434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14197 (or 14183 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 232434144 is about 15245.7910257225. The cubic root of 232434144 is about 614.8464101883.

Adding to 232434144 its reverse (441434232), we get a palindrome (673868376).

The spelling of 232434144 in words is "two hundred thirty-two million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 14159 16416 28318 42477 56636 84954 113272 127431 169908 226544 254862 269021 339816 382293 453088 509724 538042 679632 764586 807063 1019448 1076084 1359264 1529172 1614126 2038896 2152168 2421189 3058344 3228252 4077792 4304336 4842378 6116688 6456504 7263567 8608672 9684756 12233376 12913008 14527134 19369512 25826016 29054268 38739024 58108536 77478048 116217072 232434144