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444640 = 2557397
BaseRepresentation
bin1101100100011100000
3211120221011
41230203200
5103212030
613310304
73531220
oct1544340
9746834
10444640
11284079
12195394
13127501
14b8080
158bb2a
hex6c8e0

444640 has 48 divisors (see below), whose sum is σ = 1203552. Its totient is φ = 152064.

The previous prime is 444637. The next prime is 444641. The reversal of 444640 is 46444.

444640 = T245 + T246 + ... + T258.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922 + ... + 1318.

It is an arithmetic number, because the mean of its divisors is an integer number (25074).

2444640 is an apocalyptic number.

444640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601776).

444640 is an abundant number, since it is smaller than the sum of its proper divisors (758912).

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

444640 is a wasteful number, since it uses less digits than its factorization.

444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 444640 is about 666.8133172035. The cubic root of 444640 is about 76.3254739572.

It can be divided in two parts, 4 and 44640, that added together give a palindrome (44644).

The spelling of 444640 in words is "four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 397 560 794 1120 1588 1985 2779 3176 3970 5558 6352 7940 11116 12704 13895 15880 22232 27790 31760 44464 55580 63520 88928 111160 222320 444640