[go: up one dir, main page]

Search a number
-
+
231342320 = 24511223899
BaseRepresentation
bin11011100101000…
…00000011110000
3121010022102000002
431302200003300
5433210423240
634542245132
75506243256
oct1562400360
9533272002
10231342320
1110964aa00
12655867a8
1338c0c261
1422a205d6
151549ad15
hexdca00f0

231342320 has 60 divisors (see below), whose sum is σ = 591238200. Its totient is φ = 84120960.

The previous prime is 231342289. The next prime is 231342323. The reversal of 231342320 is 23243132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231342292 and 231342301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231342323) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2270 + ... + 21629.

It is an arithmetic number, because the mean of its divisors is an integer number (9853970).

Almost surely, 2231342320 is an apocalyptic number.

231342320 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 231342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295619100).

231342320 is an abundant number, since it is smaller than the sum of its proper divisors (359895880).

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

231342320 is a wasteful number, since it uses less digits than its factorization.

231342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23934 (or 23917 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 231342320 is about 15209.9414857520. The cubic root of 231342320 is about 613.8821830410.

Adding to 231342320 its reverse (23243132), we get a palindrome (254585452).

The spelling of 231342320 in words is "two hundred thirty-one million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 23899 47798 95596 119495 191192 238990 262889 382384 477980 525778 955960 1051556 1314445 1911920 2103112 2628890 2891779 4206224 5257780 5783558 10515560 11567116 14458895 21031120 23134232 28917790 46268464 57835580 115671160 231342320