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444034224 = 24341512269
BaseRepresentation
bin11010011101110…
…110110010110000
31010221112021110000
4122131312302300
51402133043344
6112021110000
714001141264
oct3235666260
91127467400
10444034224
11208711537
12104858300
1370cbb45a
1442d880a4
1528eb0a69
hex1a776cb0

444034224 has 100 divisors (see below), whose sum is σ = 1294245040. Its totient is φ = 146966400.

The previous prime is 444034219. The next prime is 444034229. The reversal of 444034224 is 422430444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444034219) and next prime (444034229).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (444034229) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 194562 + ... + 196830.

Almost surely, 2444034224 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 444034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647122520).

444034224 is an abundant number, since it is smaller than the sum of its proper divisors (850210816).

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

444034224 is a wasteful number, since it uses less digits than its factorization.

444034224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 444034224 is about 21072.1195896379. The cubic root of 444034224 is about 762.9079635016.

Adding to 444034224 its reverse (422430444), we get a palindrome (866464668).

The spelling of 444034224 in words is "four hundred forty-four million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 151 162 216 302 324 432 453 604 648 906 1208 1296 1359 1812 2269 2416 2718 3624 4077 4538 5436 6807 7248 8154 9076 10872 12231 13614 16308 18152 20421 21744 24462 27228 32616 36304 40842 48924 54456 61263 65232 81684 97848 108912 122526 163368 183789 195696 245052 326736 342619 367578 490104 685238 735156 980208 1027857 1370476 1470312 2055714 2740952 2940624 3083571 4111428 5481904 6167142 8222856 9250713 12334284 16445712 18501426 24668568 27752139 37002852 49337136 55504278 74005704 111008556 148011408 222017112 444034224