Search a number
-
+
23242340 = 22511293643
BaseRepresentation
bin101100010101…
…0011001100100
31121201211111102
41120222121210
521422223330
62150055232
7401361632
oct130523144
947654442
1023242340
1112135350
12794a518
134a7a184
143130352
152091945
hex162a664

23242340 has 48 divisors (see below), whose sum is σ = 55097280. Its totient is φ = 8158080.

The previous prime is 23242337. The next prime is 23242357. The reversal of 23242340 is 4324232.

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

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 15 ways as a sum of consecutive naturals, for example, 4559 + ... + 8201.

It is an arithmetic number, because the mean of its divisors is an integer number (1147860).

Almost surely, 223242340 is an apocalyptic number.

23242340 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 23242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27548640).

23242340 is an abundant number, since it is smaller than the sum of its proper divisors (31854940).

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

23242340 is a wasteful number, since it uses less digits than its factorization.

23242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 23242340 is about 4821.0310100641. The cubic root of 23242340 is about 285.3820259046.

Adding to 23242340 its reverse (4324232), we get a palindrome (27566572).

It can be divided in two parts, 2324 and 2340, that added together give a palindrome (4664).

The spelling of 23242340 in words is "twenty-three million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 3643 6380 7286 14572 18215 36430 40073 72860 80146 105647 160292 200365 211294 400730 422588 528235 801460 1056470 1162117 2112940 2324234 4648468 5810585 11621170 23242340