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2424132 = 2232172233
BaseRepresentation
bin1001001111110101000100
311120011021200
421033311010
51110033012
6123542500
726414304
oct11176504
94504250
102424132
111406317
1298aa30
1366b4c9
14471604
1532d3dc
hex24fd44

2424132 has 54 divisors (see below), whose sum is σ = 6537258. Its totient is φ = 757248.

The previous prime is 2424113. The next prime is 2424137. The reversal of 2424132 is 2314242.

2424132 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 617796 + 1806336 = 786^2 + 1344^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2424137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10288 + ... + 10520.

22424132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268629).

2424132 is an abundant number, since it is smaller than the sum of its proper divisors (4113126).

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

2424132 is a wasteful number, since it uses less digits than its factorization.

2424132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 255 counting only the distinct ones).

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

The square root of 2424132 is about 1556.9624272923. The cubic root of 2424132 is about 134.3338375454. Note that the first 3 decimals are identical.

Adding to 2424132 its reverse (2314242), we get a palindrome (4738374).

It can be divided in two parts, 2424 and 132, that added together give a triangular number (2556 = T71).

The spelling of 2424132 in words is "two million, four hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 233 289 306 466 578 612 699 867 932 1156 1398 1734 2097 2601 2796 3468 3961 4194 5202 7922 8388 10404 11883 15844 23766 35649 47532 67337 71298 134674 142596 202011 269348 404022 606033 808044 1212066 2424132