Search a number
-
+
2430241400 = 235237328411
BaseRepresentation
bin1001000011011010…
…1000101001111000
320021100221001110202
42100312220221320
514434120211100
61041052301332
7114136465616
oct22066505170
96240831422
102430241400
111037898374
12579a71848
132c9646782
14190a926b6
15e354b7d5
hex90da8a78

2430241400 has 48 divisors (see below), whose sum is σ = 5803040040. Its totient is φ = 945820800.

The previous prime is 2430241397. The next prime is 2430241423. The reversal of 2430241400 is 41420342.

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 11 ways as a sum of consecutive naturals, for example, 156806 + ... + 171605.

Almost surely, 22430241400 is an apocalyptic number.

2430241400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430241400 is an abundant number, since it is smaller than the sum of its proper divisors (3372798640).

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

2430241400 is a wasteful number, since it uses less digits than its factorization.

2430241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328464 (or 328455 counting only the distinct ones).

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

The square root of 2430241400 is about 49297.4786373502. The cubic root of 2430241400 is about 1344.4659414686.

Adding to 2430241400 its reverse (41420342), we get a palindrome (2471661742).

The spelling of 2430241400 in words is "two billion, four hundred thirty million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 328411 656822 1313644 1642055 2627288 3284110 6568220 8210275 12151207 13136440 16420550 24302414 32841100 48604828 60756035 65682200 97209656 121512070 243024140 303780175 486048280 607560350 1215120700 2430241400