Search a number
-
+
1442232 = 233311607
BaseRepresentation
bin101100000000110111000
32201021101000
411200012320
5332122412
650525000
715154521
oct5400670
92637330
101442232
118a5630
12596760
133b65bc
14297848
151d74dc
hex1601b8

1442232 has 64 divisors (see below), whose sum is σ = 4377600. Its totient is φ = 436320.

The previous prime is 1442227. The next prime is 1442251. The reversal of 1442232 is 2322441.

It is a super-3 number, since 3×14422323 = 8999671074597333504, which contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2073 + ... + 2679.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

21442232 is an apocalyptic number.

1442232 is a gapful number since it is divisible by the number (12) 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 1442232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188800).

1442232 is an abundant number, since it is smaller than the sum of its proper divisors (2935368).

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

1442232 is a wasteful number, since it uses less digits than its factorization.

1442232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 1442232 is about 1200.9296399040. The cubic root of 1442232 is about 112.9826375809.

Adding to 1442232 its reverse (2322441), we get a palindrome (3764673).

The spelling of 1442232 in words is "one million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 607 792 1188 1214 1821 2376 2428 3642 4856 5463 6677 7284 10926 13354 14568 16389 20031 21852 26708 32778 40062 43704 53416 60093 65556 80124 120186 131112 160248 180279 240372 360558 480744 721116 1442232