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24130314 = 232131011021
BaseRepresentation
bin101110000001…
…1001100001010
31200101221120100
41130003030022
522134132224
62221110230
7412050525
oct134031412
950357510
1024130314
111269150a
1280b8376
134ccb3c0
1432c1bbc
1521b9ac9
hex170330a

24130314 has 48 divisors (see below), whose sum is σ = 56917224. Its totient is φ = 7344000.

The previous prime is 24130297. The next prime is 24130339. The reversal of 24130314 is 41303142.

It can be written as a sum of positive squares in 4 ways, for example, as 22610025 + 1520289 = 4755^2 + 1233^2 .

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23124 + ... + 24144.

Almost surely, 224130314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24130314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28458612).

24130314 is an abundant number, since it is smaller than the sum of its proper divisors (32786910).

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

24130314 is a wasteful number, since it uses less digits than its factorization.

24130314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 24130314 is about 4912.2615972686. The cubic root of 24130314 is about 288.9710423047.

Adding to 24130314 its reverse (41303142), we get a palindrome (65433456).

It can be divided in two parts, 2 and 4130314, that multiplied together give a palindrome (8260628).

The spelling of 24130314 in words is "twenty-four million, one hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1021 1313 1818 2042 2626 3063 3939 6126 7878 9189 11817 13273 18378 23634 26546 39819 79638 103121 119457 206242 238914 309363 618726 928089 1340573 1856178 2681146 4021719 8043438 12065157 24130314