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231434240 = 211597233
BaseRepresentation
bin11011100101101…
…10100000000000
3121010111002002112
431302312200000
5433221343430
634544234452
75510105252
oct1562664000
9533432075
10231434240
11109702a74
126560ba28
1338c4204b
1422a45cd2
15154b8195
hexdcb6800

231434240 has 96 divisors (see below), whose sum is σ = 563439240. Its totient is φ = 91226112.

The previous prime is 231434233. The next prime is 231434263. The reversal of 231434240 is 42434132.

It can be written as a sum of positive squares in 4 ways, for example, as 147088384 + 84345856 = 12128^2 + 9184^2 .

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 7 ways as a sum of consecutive naturals, for example, 993164 + ... + 993396.

Almost surely, 2231434240 is an apocalyptic number.

231434240 is a gapful number since it is divisible by the number (20) 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 231434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281719620).

231434240 is an abundant number, since it is smaller than the sum of its proper divisors (332005000).

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

231434240 is an equidigital number, since it uses as much as digits as its factorization.

231434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 231434240 is about 15212.9628935326. The cubic root of 231434240 is about 613.9634775462.

Adding to 231434240 its reverse (42434132), we get a palindrome (273868372).

The spelling of 231434240 in words is "two hundred thirty-one million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 233 256 320 388 466 485 512 640 776 932 970 1024 1165 1280 1552 1864 1940 2048 2330 2560 3104 3728 3880 4660 5120 6208 7456 7760 9320 10240 12416 14912 15520 18640 22601 24832 29824 31040 37280 45202 49664 59648 62080 74560 90404 99328 113005 119296 124160 149120 180808 198656 226010 238592 248320 298240 361616 452020 477184 496640 596480 723232 904040 993280 1192960 1446464 1808080 2385920 2892928 3616160 5785856 7232320 11571712 14464640 23143424 28929280 46286848 57858560 115717120 231434240