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442350 = 23252983
BaseRepresentation
bin1101011111111101110
3211110210100
41223333232
5103123400
613251530
73521436
oct1537756
9743710
10442350
11282387
12193ba6
1312645c
14b72c6
158b100
hex6bfee

442350 has 36 divisors (see below), whose sum is σ = 1189656. Its totient is φ = 117840.

The previous prime is 442333. The next prime is 442363. The reversal of 442350 is 53244.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

442350 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42 + ... + 941.

It is an arithmetic number, because the mean of its divisors is an integer number (33046).

2442350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594828).

442350 is an abundant number, since it is smaller than the sum of its proper divisors (747306).

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

442350 is a wasteful number, since it uses less digits than its factorization.

442350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 442350 is about 665.0939783219. The cubic root of 442350 is about 76.1942170162.

Adding to 442350 its reverse (53244), we get a palindrome (495594).

The spelling of 442350 in words is "four hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 983 1966 2949 4915 5898 8847 9830 14745 17694 24575 29490 44235 49150 73725 88470 147450 221175 442350