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231234432 = 27311134211
BaseRepresentation
bin11011100100001…
…01101110000000
3121010002221000020
431302011232000
5433144000212
634540053440
75505313602
oct1562055600
9533087006
10231234432
11109586940
1265534280
1338ba2110
14229d3172
1515478d8c
hexdc85b80

231234432 has 128 divisors (see below), whose sum is σ = 721768320. Its totient is φ = 64665600.

The previous prime is 231234403. The next prime is 231234449. The reversal of 231234432 is 234432132.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 52807 + ... + 57017.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2231234432 is an apocalyptic number.

231234432 is a gapful number since it is divisible by the number (22) 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 231234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

231234432 is an abundant number, since it is smaller than the sum of its proper divisors (490533888).

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

231234432 is a wasteful number, since it uses less digits than its factorization.

231234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4240 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 231234432 is about 15206.3944444434. The cubic root of 231234432 is about 613.7867388823.

Adding to 231234432 its reverse (234432132), we get a palindrome (465666564).

The spelling of 231234432 in words is "two hundred thirty-one million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4211 4224 4576 4992 6864 8422 9152 12633 13728 16844 18304 25266 27456 33688 46321 50532 54743 54912 67376 92642 101064 109486 134752 138963 164229 185284 202128 218972 269504 277926 328458 370568 404256 437944 539008 555852 602173 656916 741136 808512 875888 1111704 1204346 1313832 1482272 1617024 1751776 1806519 2223408 2408692 2627664 2964544 3503552 3613038 4446816 4817384 5255328 5929088 7007104 7226076 8893632 9634768 10510656 14452152 17787264 19269536 21021312 28904304 38539072 57808608 77078144 115617216 231234432