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444108 = 223717311
BaseRepresentation
bin1101100011011001100
3211120012110
41230123030
5103202413
613304020
73526530
oct1543314
9746173
10444108
11283735
12195010
131271b2
14b7bc0
158b8c3
hex6c6cc

444108 has 48 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 119040.

The previous prime is 444089. The next prime is 444109. The reversal of 444108 is 801444.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444109) 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, 1273 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2444108 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 444108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

444108 is an abundant number, since it is smaller than the sum of its proper divisors (813876).

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

444108 is a wasteful number, since it uses less digits than its factorization.

444108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 444108 is about 666.4142855612. The cubic root of 444108 is about 76.2950213384.

The spelling of 444108 in words is "four hundred forty-four thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 311 357 476 622 714 933 1244 1428 1866 2177 3732 4354 5287 6531 8708 10574 13062 15861 21148 26124 31722 37009 63444 74018 111027 148036 222054 444108