Search a number
-
+
24313116 = 22323137643
BaseRepresentation
bin101110010111…
…1110100011100
31200202020022210
41130233310130
522211004431
62225040420
7413441502
oct134576434
950666283
1024313116
11127a6893
128186110
135063679
14332c672
152203d46
hex172fd1c

24313116 has 48 divisors (see below), whose sum is σ = 59721984. Its totient is φ = 7683456.

The previous prime is 24313099. The next prime is 24313117. The reversal of 24313116 is 61131342.

It is a super-2 number, since 2×243131162 = 1182255219258912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 24313092 and 24313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24313117) 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, 37491 + ... + 38133.

It is an arithmetic number, because the mean of its divisors is an integer number (1244208).

Almost surely, 224313116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24313116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29860992).

24313116 is an abundant number, since it is smaller than the sum of its proper divisors (35408868).

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

24313116 is a wasteful number, since it uses less digits than its factorization.

24313116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 808 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 24313116 is about 4930.8331953129. The cubic root of 24313116 is about 289.6989185960.

Adding to 24313116 its reverse (61131342), we get a palindrome (85444458).

The spelling of 24313116 in words is "twenty-four million, three hundred thirteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 92 137 138 274 276 411 548 643 822 1286 1644 1929 2572 3151 3858 6302 7716 9453 12604 14789 18906 29578 37812 44367 59156 88091 88734 176182 177468 264273 352364 528546 1057092 2026093 4052186 6078279 8104372 12156558 24313116