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440664 = 23374361
BaseRepresentation
bin1101011100101011000
3211101110220
41223211120
5103100124
613240040
73513510
oct1534530
9741426
10440664
11281094
12193020
13125763
14b6840
158a879
hex6b958

440664 has 64 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 120960.

The previous prime is 440653. The next prime is 440669. The reversal of 440664 is 466044.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440669) 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, 7194 + ... + 7254.

It is an arithmetic number, because the mean of its divisors is an integer number (20460).

2440664 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 440664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

440664 is an abundant number, since it is smaller than the sum of its proper divisors (868776).

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

440664 is a wasteful number, since it uses less digits than its factorization.

440664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 440664 is about 663.8252782171. The cubic root of 440664 is about 76.0972899920.

The spelling of 440664 in words is "four hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 61 84 86 122 129 168 172 183 244 258 301 344 366 427 488 516 602 732 854 903 1032 1204 1281 1464 1708 1806 2408 2562 2623 3416 3612 5124 5246 7224 7869 10248 10492 15738 18361 20984 31476 36722 55083 62952 73444 110166 146888 220332 440664