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24630340 = 2257241613
BaseRepresentation
bin101110111110…
…1010001000100
31201100100110211
41131331101010
522301132330
62235525204
7416232400
oct135752104
951310424
1024630340
11129a3159
1282b9804
135144b87
1433b2100
152267d2a
hex177d444

24630340 has 72 divisors (see below), whose sum is σ = 61736472. Its totient is φ = 8225280.

The previous prime is 24630311. The next prime is 24630341. The reversal of 24630340 is 4303642.

It can be written as a sum of positive squares in 4 ways, for example, as 2502724 + 22127616 = 1582^2 + 4704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24630341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39874 + ... + 40486.

It is an arithmetic number, because the mean of its divisors is an integer number (857451).

Almost surely, 224630340 is an apocalyptic number.

24630340 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 24630340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30868236).

24630340 is an abundant number, since it is smaller than the sum of its proper divisors (37106132).

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

24630340 is a wasteful number, since it uses less digits than its factorization.

24630340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 24630340 is about 4962.8963317805. The cubic root of 24630340 is about 290.9534216888.

Adding to 24630340 its reverse (4303642), we get a palindrome (28933982).

The spelling of 24630340 in words is "twenty-four million, six hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 574 613 820 980 1148 1226 1435 2009 2452 2870 3065 4018 4291 5740 6130 8036 8582 10045 12260 17164 20090 21455 25133 30037 40180 42910 50266 60074 85820 100532 120148 125665 150185 175931 251330 300370 351862 502660 600740 703724 879655 1231517 1759310 2463034 3518620 4926068 6157585 12315170 24630340