Search a number
-
+
2430464 = 2947101
BaseRepresentation
bin1001010001011000000000
311120110222012
421101120000
51110233324
6124032052
726441621
oct11213000
94513865
102430464
111410053
12992628
1367135a
14473a48
1533020e
hex251600

2430464 has 40 divisors (see below), whose sum is σ = 5008608. Its totient is φ = 1177600.

The previous prime is 2430457. The next prime is 2430469. The reversal of 2430464 is 4640342.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24014 + ... + 24114.

22430464 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 2430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504304).

2430464 is an abundant number, since it is smaller than the sum of its proper divisors (2578144).

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

2430464 is an equidigital number, since it uses as much as digits as its factorization.

2430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2430464 is about 1558.9945477775. The cubic root of 2430464 is about 134.4506989377.

The spelling of 2430464 in words is "two million, four hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 101 128 188 202 256 376 404 512 752 808 1504 1616 3008 3232 4747 6016 6464 9494 12032 12928 18988 24064 25856 37976 51712 75952 151904 303808 607616 1215232 2430464