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1005404424 = 233103406717
BaseRepresentation
bin111011111011010…
…100000100001000
32121001211211120220
4323323110010020
54024340420144
6243433150040
733625540143
oct7373240410
92531754526
101005404424
11476585252
1224085b320
131303b007b
149775705a
155d3ec919
hex3bed4108

1005404424 has 32 divisors (see below), whose sum is σ = 2537920320. Its totient is φ = 331880256.

The previous prime is 1005404423. The next prime is 1005404453. The reversal of 1005404424 is 4244045001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1005404394 and 1005404403.

It is not an unprimeable number, because it can be changed into a prime (1005404423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200887 + ... + 205830.

It is an arithmetic number, because the mean of its divisors is an integer number (79310010).

Almost surely, 21005404424 is an apocalyptic number.

It is an amenable number.

1005404424 is an abundant number, since it is smaller than the sum of its proper divisors (1532515896).

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

1005404424 is a wasteful number, since it uses less digits than its factorization.

1005404424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406829 (or 406825 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1005404424 is about 31708.1129050595. The cubic root of 1005404424 is about 1001.7982390646.

Adding to 1005404424 its reverse (4244045001), we get a palindrome (5249449425).

The spelling of 1005404424 in words is "one billion, five million, four hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 618 824 1236 2472 406717 813434 1220151 1626868 2440302 3253736 4880604 9761208 41891851 83783702 125675553 167567404 251351106 335134808 502702212 1005404424