Search a number
-
+
24404004 = 22368369
BaseRepresentation
bin101110100011…
…0000000100100
31200220212000000
41131012000210
522221412004
62231021300
7414300462
oct135060044
950825000
1024404004
11128590a9
12820a830
135095b51
143353832
152220c39
hex1746024

24404004 has 42 divisors (see below), whose sum is σ = 64038870. Its totient is φ = 8133696.

The previous prime is 24403963. The next prime is 24404021. The reversal of 24404004 is 40040442.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22581504 + 1822500 = 4752^2 + 1350^2 .

It is a super-2 number, since 2×244040042 = 1191110822464032, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1269 + ... + 7100.

It is an arithmetic number, because the mean of its divisors is an integer number (1524735).

Almost surely, 224404004 is an apocalyptic number.

It is an amenable number.

24404004 is an abundant number, since it is smaller than the sum of its proper divisors (39634866).

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

24404004 is an equidigital number, since it uses as much as digits as its factorization.

24404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 24404004 is about 4940.0408905190. The cubic root of 24404004 is about 290.0594566954.

Adding to 24404004 its reverse (40040442), we get a palindrome (64444446).

The spelling of 24404004 in words is "twenty-four million, four hundred four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 8369 16738 25107 33476 50214 75321 100428 150642 225963 301284 451926 677889 903852 1355778 2033667 2711556 4067334 6101001 8134668 12202002 24404004