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442704 = 24323401
BaseRepresentation
bin1101100000101010000
3211111021110
41230011100
5103131304
613253320
73522453
oct1540520
9744243
10442704
11282679
12194240
13126672
14b749a
158b289
hex6c150

442704 has 40 divisors (see below), whose sum is σ = 1196352. Its totient is φ = 140800.

The previous prime is 442703. The next prime is 442721. The reversal of 442704 is 407244.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 904 + ... + 1304.

2442704 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 442704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598176).

442704 is an abundant number, since it is smaller than the sum of its proper divisors (753648).

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

442704 is a wasteful number, since it uses less digits than its factorization.

442704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 442704 is about 665.3600529037. The cubic root of 442704 is about 76.2145369445.

Adding to 442704 its reverse (407244), we get a palindrome (849948).

The spelling of 442704 in words is "four hundred forty-two thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 401 552 802 1104 1203 1604 2406 3208 4812 6416 9223 9624 18446 19248 27669 36892 55338 73784 110676 147568 221352 442704