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424323424 = 2573116091
BaseRepresentation
bin11001010010101…
…010100101100000
31002120102212022101
4121102222211200
51332111322144
6110034420144
713341455350
oct3122524540
91076385271
10424323424
111a8579518
12ba131654
1369ba9865
14404d6b60
15273ba6d4
hex194aa960

424323424 has 48 divisors (see below), whose sum is σ = 957954816. Its totient is φ = 181238400.

The previous prime is 424323401. The next prime is 424323461.

It is a happy number.

424323424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 424323392 and 424323401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66619 + ... + 72709.

It is an arithmetic number, because the mean of its divisors is an integer number (19957392).

Almost surely, 2424323424 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 424323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478977408).

424323424 is an abundant number, since it is smaller than the sum of its proper divisors (533631392).

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

424323424 is a wasteful number, since it uses less digits than its factorization.

424323424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419 (or 6411 counting only the distinct ones).

The product of its digits is 18432, while the sum is 28.

The square root of 424323424 is about 20599.1122138795. The cubic root of 424323424 is about 751.4481200574.

The spelling of 424323424 in words is "four hundred twenty-four million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 311 622 1244 2177 2488 4354 4976 6091 8708 9952 12182 17416 24364 34832 42637 48728 69664 85274 97456 170548 194912 341096 682192 1364384 1894301 3788602 7577204 13260107 15154408 26520214 30308816 53040428 60617632 106080856 212161712 424323424