Search a number
-
+
2024034304 = 2121134373
BaseRepresentation
bin111100010100100…
…0101000000000000
312020001120121002111
41320221011000000
513121123044204
6532502025104
7101105002435
oct17051050000
95201517074
102024034304
11949572a26
12485a18194
13263440b46
14152b53b8c
15bca5dd04
hex78a45000

2024034304 has 52 divisors (see below), whose sum is σ = 4084327476. Its totient is φ = 1002831872.

The previous prime is 2024034277. The next prime is 2024034307. The reversal of 2024034304 is 4034304202.

It can be written as a sum of positive squares in 2 ways, for example, as 459673600 + 1564360704 = 21440^2 + 39552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024034307) 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, 460662 + ... + 465034.

Almost surely, 22024034304 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 2024034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042163738).

2024034304 is an abundant number, since it is smaller than the sum of its proper divisors (2060293172).

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

2024034304 is an equidigital number, since it uses as much as digits as its factorization.

2024034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2024034304 is about 44989.2687648955. The cubic root of 2024034304 is about 1264.9478549748.

Adding to 2024034304 its reverse (4034304202), we get a palindrome (6058338506).

The spelling of 2024034304 in words is "two billion, twenty-four million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1024 1808 2048 3616 4096 4373 7232 8746 14464 17492 28928 34984 57856 69968 115712 139936 231424 279872 462848 494149 559744 988298 1119488 1976596 2238976 3953192 4477952 7906384 8955904 15812768 17911808 31625536 63251072 126502144 253004288 506008576 1012017152 2024034304