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444744 = 23332971
BaseRepresentation
bin1101100100101001000
3211121002000
41230211020
5103212434
613311000
73531426
oct1544510
9747060
10444744
11284163
12195460
13127581
14b8116
158bb99
hex6c948

444744 has 64 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 141120.

The previous prime is 444739. The next prime is 444767. The reversal of 444744 is 447444.

It is a happy number.

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

It is an unprimeable number.

444744 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 15 ways as a sum of consecutive naturals, for example, 6229 + ... + 6299.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2444744 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 444744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

444744 is an abundant number, since it is smaller than the sum of its proper divisors (851256).

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

444744 is a wasteful number, since it uses less digits than its factorization.

444744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its digits is 7168, while the sum is 27.

The square root of 444744 is about 666.8912954898. The cubic root of 444744 is about 76.3314242619.

The spelling of 444744 in words is "four hundred forty-four thousand, seven hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 71 72 87 108 116 142 174 213 216 232 261 284 348 426 522 568 639 696 783 852 1044 1278 1566 1704 1917 2059 2088 2556 3132 3834 4118 5112 6177 6264 7668 8236 12354 15336 16472 18531 24708 37062 49416 55593 74124 111186 148248 222372 444744