Search a number
-
+
442170 = 2325173
BaseRepresentation
bin1101011111100111010
3211110112200
41223330322
5103122140
613251030
73521061
oct1537472
9743480
10442170
11282233
12193a76
13126351
14b71d8
158b030
hex6bf3a

442170 has 48 divisors (see below), whose sum is σ = 1221480. Its totient is φ = 110976.

The previous prime is 442157. The next prime is 442171. The reversal of 442170 is 71244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 370881 + 71289 = 609^2 + 267^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26002 + ... + 26018.

2442170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610740).

442170 is an abundant number, since it is smaller than the sum of its proper divisors (779310).

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

442170 is a wasteful number, since it uses less digits than its factorization.

442170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 442170 is about 664.9586453307. The cubic root of 442170 is about 76.1838806915.

The spelling of 442170 in words is "four hundred forty-two thousand, one hundred seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1734 2601 2890 4335 4913 5202 8670 9826 13005 14739 24565 26010 29478 44217 49130 73695 88434 147390 221085 442170