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424113320 = 23512138741
BaseRepresentation
bin11001010001110…
…111010010101000
31002120001012002202
4121101313102220
51332033111240
6110030115332
713336621661
oct3121672250
91076035082
10424113320
111a8445684
12ba04bb48
1369b35037
1440480368
1527378315
hex194774a8

424113320 has 32 divisors (see below), whose sum is σ = 955150920. Its totient is φ = 169486080.

The previous prime is 424113301. The next prime is 424113323. The reversal of 424113320 is 23311424.

It can be written as a sum of positive squares in 4 ways, for example, as 153115876 + 270997444 = 12374^2 + 16462^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 424113292 and 424113301.

It is not an unprimeable number, because it can be changed into a prime (424113323) 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, 44150 + ... + 52890.

Almost surely, 2424113320 is an apocalyptic number.

424113320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424113320 is an abundant number, since it is smaller than the sum of its proper divisors (531037600).

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

424113320 is a wasteful number, since it uses less digits than its factorization.

424113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 424113320 is about 20594.0117509921. The cubic root of 424113320 is about 751.3240729175.

Adding to 424113320 its reverse (23311424), we get a palindrome (447424744).

The spelling of 424113320 in words is "four hundred twenty-four million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1213 2426 4852 6065 8741 9704 12130 17482 24260 34964 43705 48520 69928 87410 174820 349640 10602833 21205666 42411332 53014165 84822664 106028330 212056660 424113320