Search a number
-
+
445704 = 23372379
BaseRepresentation
bin1101100110100001000
3211122101120
41230310020
5103230304
613315240
73534300
oct1546410
9748346
10445704
11284956
12195b20
13127b3c
14b8600
158c0d9
hex6cd08

445704 has 48 divisors (see below), whose sum is σ = 1299600. Its totient is φ = 127008.

The previous prime is 445703. The next prime is 445741. The reversal of 445704 is 407544.

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

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 445704.

It is not an unprimeable number, because it can be changed into a prime (445703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 987 + ... + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (27075).

2445704 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 445704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649800).

445704 is an abundant number, since it is smaller than the sum of its proper divisors (853896).

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

445704 is a wasteful number, since it uses less digits than its factorization.

445704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 445704 is about 667.6106649837. The cubic root of 445704 is about 76.3863064006.

The spelling of 445704 in words is "four hundred forty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 379 392 588 758 1137 1176 1516 2274 2653 3032 4548 5306 7959 9096 10612 15918 18571 21224 31836 37142 55713 63672 74284 111426 148568 222852 445704