Search a number
-
+
2430144 = 26324219
BaseRepresentation
bin1001010001010011000000
311120110112100
421101103000
51110231034
6124030400
726440653
oct11212300
94513470
102430144
11140a892
12992400
13671172
1447389a
15330099
hex2514c0

2430144 has 42 divisors (see below), whose sum is σ = 6967220. Its totient is φ = 809856.

The previous prime is 2430139. The next prime is 2430149. The reversal of 2430144 is 4410342.

It is an interprime number because it is at equal distance from previous prime (2430139) and next prime (2430149).

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

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2430149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1534 + ... + 2685.

22430144 is an apocalyptic number.

2430144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2430144 is an abundant number, since it is smaller than the sum of its proper divisors (4537076).

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

2430144 is a wasteful number, since it uses less digits than its factorization.

2430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2430144 is about 1558.8919141493. The cubic root of 2430144 is about 134.4447979915. Note that the first 3 decimals are identical.

Adding to 2430144 its reverse (4410342), we get a palindrome (6840486).

The spelling of 2430144 in words is "two million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4219 8438 12657 16876 25314 33752 37971 50628 67504 75942 101256 135008 151884 202512 270016 303768 405024 607536 810048 1215072 2430144