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422411304 = 233724110433
BaseRepresentation
bin11001001011010…
…111110000101000
31002102211201101010
4121023113300220
51331114130204
6105525423520
713316302560
oct3113276050
91072751333
10422411304
111a7492957
12b956aba0
136968a423
1440159da0
152713dd89
hex192d7c28

422411304 has 64 divisors (see below), whose sum is σ = 1212013440. Its totient is φ = 120176640.

The previous prime is 422411279. The next prime is 422411309. The reversal of 422411304 is 403114224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (422411309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35272 + ... + 45704.

It is an arithmetic number, because the mean of its divisors is an integer number (18937710).

Almost surely, 2422411304 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 422411304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606006720).

422411304 is an abundant number, since it is smaller than the sum of its proper divisors (789602136).

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

422411304 is a wasteful number, since it uses less digits than its factorization.

422411304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10690 (or 10686 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 422411304 is about 20552.6471287764. The cubic root of 422411304 is about 750.3176752021.

Adding to 422411304 its reverse (403114224), we get a palindrome (825525528).

The spelling of 422411304 in words is "four hundred twenty-two million, four hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 482 723 964 1446 1687 1928 2892 3374 5061 5784 6748 10122 10433 13496 20244 20866 31299 40488 41732 62598 73031 83464 125196 146062 219093 250392 292124 438186 584248 876372 1752744 2514353 5028706 7543059 10057412 15086118 17600471 20114824 30172236 35200942 52801413 60344472 70401884 105602826 140803768 211205652 422411304