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1442334200 = 235238918539
BaseRepresentation
bin101010111111000…
…0100010111111000
310201112000011120012
41111332010113320
510423214143300
6355042121052
750512431656
oct12576042770
93645004505
101442334200
1168018403a
12343050188
1319ca818b8
14d97b1dd6
1586958435
hex55f845f8

1442334200 has 48 divisors (see below), whose sum is σ = 3362229000. Its totient is φ = 575419520.

The previous prime is 1442334197. The next prime is 1442334211. The reversal of 1442334200 is 24332441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68531 + ... + 87069.

Almost surely, 21442334200 is an apocalyptic number.

1442334200 is a gapful number since it is divisible by the number (10) 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 1442334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681114500).

1442334200 is an abundant number, since it is smaller than the sum of its proper divisors (1919894800).

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

1442334200 is a wasteful number, since it uses less digits than its factorization.

1442334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18944 (or 18935 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 1442334200 is about 37978.0752540199. The cubic root of 1442334200 is about 1129.8530625763.

Adding to 1442334200 its reverse (24332441), we get a palindrome (1466666641).

The spelling of 1442334200 in words is "one billion, four hundred forty-two million, three hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 389 778 1556 1945 3112 3890 7780 9725 15560 18539 19450 37078 38900 74156 77800 92695 148312 185390 370780 463475 741560 926950 1853900 3707800 7211671 14423342 28846684 36058355 57693368 72116710 144233420 180291775 288466840 360583550 721167100 1442334200