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444264 = 233107173
BaseRepresentation
bin1101100011101101000
3211120102020
41230131220
5103204024
613304440
73530142
oct1543550
9746366
10444264
11283867
12195120
131272a2
14b7c92
158b979
hex6c768

444264 has 32 divisors (see below), whose sum is σ = 1127520. Its totient is φ = 145856.

The previous prime is 444253. The next prime is 444271. The reversal of 444264 is 462444.

444264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

444264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2482 + ... + 2654.

It is an arithmetic number, because the mean of its divisors is an integer number (35235).

2444264 is an apocalyptic number.

It is an amenable number.

444264 is an abundant number, since it is smaller than the sum of its proper divisors (683256).

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

444264 is a wasteful number, since it uses less digits than its factorization.

444264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 444264 is about 666.5313195942. The cubic root of 444264 is about 76.3039535726.

The spelling of 444264 in words is "four hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 107 173 214 321 346 428 519 642 692 856 1038 1284 1384 2076 2568 4152 18511 37022 55533 74044 111066 148088 222132 444264