Search a number
-
+
2424034100 = 225224240341
BaseRepresentation
bin1001000001111011…
…1101001100110100
320020221020200122202
42100132331030310
514431023042400
61040311244032
7114032643545
oct22036751464
96227220582
102424034100
111034338774
12577979618
132c8282307
1418dd184cc
15e2c224d5
hex907bd334

2424034100 has 18 divisors (see below), whose sum is σ = 5260154214. Its totient is φ = 969613600.

The previous prime is 2424034099. The next prime is 2424034111. The reversal of 2424034100 is 14304242.

2424034100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 303247396 + 2120786704 = 17414^2 + 46052^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12120071 + ... + 12120270.

Almost surely, 22424034100 is an apocalyptic number.

2424034100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424034100 is an abundant number, since it is smaller than the sum of its proper divisors (2836120114).

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

2424034100 is a wasteful number, since it uses less digits than its factorization.

2424034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24240355 (or 24240348 counting only the distinct ones).

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

The square root of 2424034100 is about 49234.4808035994. The cubic root of 2424034100 is about 1343.3202913734.

Adding to 2424034100 its reverse (14304242), we get a palindrome (2438338342).

The spelling of 2424034100 in words is "two billion, four hundred twenty-four million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 24240341 48480682 96961364 121201705 242403410 484806820 606008525 1212017050 2424034100