Search a number
-
+
23412440 = 2353179239
BaseRepresentation
bin101100101001…
…1111011011000
31122001110211102
41121103323120
521443144230
62153450532
7403000562
oct131237330
948043742
1023412440
1112241127
127a10a48
134b0971c
143176332
1520c7045
hex1653ed8

23412440 has 64 divisors (see below), whose sum is σ = 55296000. Its totient is φ = 8910720.

The previous prime is 23412421. The next prime is 23412449. The reversal of 23412440 is 4421432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23412449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97841 + ... + 98079.

It is an arithmetic number, because the mean of its divisors is an integer number (864000).

Almost surely, 223412440 is an apocalyptic number.

23412440 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 23412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648000).

23412440 is an abundant number, since it is smaller than the sum of its proper divisors (31883560).

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

23412440 is a wasteful number, since it uses less digits than its factorization.

23412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 23412440 is about 4838.6403048790. The cubic root of 23412440 is about 286.0765276814.

Adding to 23412440 its reverse (4421432), we get a palindrome (27833872).

The spelling of 23412440 in words is "twenty-three million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 79 124 155 158 239 248 310 316 395 478 620 632 790 956 1195 1240 1580 1912 2390 2449 3160 4780 4898 7409 9560 9796 12245 14818 18881 19592 24490 29636 37045 37762 48980 59272 74090 75524 94405 97960 148180 151048 188810 296360 377620 585311 755240 1170622 2341244 2926555 4682488 5853110 11706220 23412440