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1442344332 = 22311135315859
BaseRepresentation
bin101010111111000…
…0110110110001100
310201112000200110110
41111332012312030
510423220004312
6355042240020
750512503342
oct12576066614
93645020413
101442344332
11680190710
12343056010
1319ca863b0
14d97b5992
158695b43c
hex55f86d8c

1442344332 has 96 divisors (see below), whose sum is σ = 4028693760. Its totient is φ = 395815680.

The previous prime is 1442344303. The next prime is 1442344349. The reversal of 1442344332 is 2334432441.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1442344332.

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 31 ways as a sum of consecutive naturals, for example, 83019 + ... + 98877.

It is an arithmetic number, because the mean of its divisors is an integer number (41965560).

Almost surely, 21442344332 is an apocalyptic number.

1442344332 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 1442344332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014346880).

1442344332 is an abundant number, since it is smaller than the sum of its proper divisors (2586349428).

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

1442344332 is a wasteful number, since it uses less digits than its factorization.

1442344332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15943 (or 15941 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 1442344332 is about 37978.2086465383. The cubic root of 1442344332 is about 1129.8557082055.

Adding to 1442344332 its reverse (2334432441), we get a palindrome (3776776773).

The spelling of 1442344332 in words is "one billion, four hundred forty-two million, three hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 53 66 78 106 132 143 156 159 212 286 318 429 572 583 636 689 858 1166 1378 1716 1749 2067 2332 2756 3498 4134 6996 7579 8268 15158 15859 22737 30316 31718 45474 47577 63436 90948 95154 174449 190308 206167 348898 412334 523347 618501 697796 824668 840527 1046694 1237002 1681054 2093388 2267837 2474004 2521581 3362108 4535674 5043162 6803511 9071348 9245797 10086324 10926851 13607022 18491594 21853702 27214044 27737391 32780553 36983188 43707404 55474782 65561106 110949564 120195361 131122212 240390722 360586083 480781444 721172166 1442344332