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442240 = 275691
BaseRepresentation
bin1101011111110000000
3211110122021
41223332000
5103122430
613251224
73521221
oct1537600
9743567
10442240
11282297
12193b14
131263a6
14b7248
158b07a
hex6bf80

442240 has 32 divisors (see below), whose sum is σ = 1058760. Its totient is φ = 176640.

The previous prime is 442237. The next prime is 442243. The reversal of 442240 is 42244.

It is an interprime number because it is at equal distance from previous prime (442237) and next prime (442243).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 295 + ... + 985.

2442240 is an apocalyptic number.

442240 is a gapful number since it is divisible by the number (40) 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 442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529380).

442240 is an abundant number, since it is smaller than the sum of its proper divisors (616520).

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

442240 is an equidigital number, since it uses as much as digits as its factorization.

442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 442240 is about 665.0112780999. The cubic root of 442240 is about 76.1879007066.

Adding to 442240 its reverse (42244), we get a palindrome (484484).

The spelling of 442240 in words is "four hundred forty-two thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 691 1382 2764 3455 5528 6910 11056 13820 22112 27640 44224 55280 88448 110560 221120 442240