Search a number
-
+
23240440 = 2353741383
BaseRepresentation
bin101100010100…
…1111011111000
31121201201220001
41120221323320
521422143230
62150042344
7401353246
oct130517370
947651801
1023240440
1112133983
1279493b4
134a79352
14312d796
1520910ca
hex1629ef8

23240440 has 64 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 8801280.

The previous prime is 23240429. The next prime is 23240443. The reversal of 23240440 is 4404232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23240443) 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, 60489 + ... + 60871.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 223240440 is an apocalyptic number.

23240440 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 23240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

23240440 is an abundant number, since it is smaller than the sum of its proper divisors (31917320).

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

23240440 is a wasteful number, since it uses less digits than its factorization.

23240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 23240440 is about 4820.8339527513. The cubic root of 23240440 is about 285.3742492834.

Adding to 23240440 its reverse (4404232), we get a palindrome (27644672).

The spelling of 23240440 in words is "twenty-three million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 41 74 82 148 164 185 205 296 328 370 383 410 740 766 820 1480 1517 1532 1640 1915 3034 3064 3830 6068 7585 7660 12136 14171 15170 15320 15703 28342 30340 31406 56684 60680 62812 70855 78515 113368 125624 141710 157030 283420 314060 566840 581011 628120 1162022 2324044 2905055 4648088 5810110 11620220 23240440