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1424010312 = 2332591013319
BaseRepresentation
bin101010011100000…
…1010110001001000
310200020112012220200
41110320022301020
510404021312222
6353145252200
750200613364
oct12470126110
93606465820
101424010312
116708a902a
12338a94060
1319903736a
14d71a22a4
1585038eac
hex54e0ac48

1424010312 has 96 divisors (see below), whose sum is σ = 3962088000. Its totient is φ = 461865600.

The previous prime is 1424010311. The next prime is 1424010323. The reversal of 1424010312 is 2130104241.

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

It is not an unprimeable number, because it can be changed into a prime (1424010311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427389 + ... + 430707.

It is an arithmetic number, because the mean of its divisors is an integer number (41271750).

Almost surely, 21424010312 is an apocalyptic number.

1424010312 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 1424010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981044000).

1424010312 is an abundant number, since it is smaller than the sum of its proper divisors (2538077688).

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

1424010312 is a wasteful number, since it uses less digits than its factorization.

1424010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1424010312 is about 37736.0611617058. The cubic root of 1424010312 is about 1125.0479813610.

Adding to 1424010312 its reverse (2130104241), we get a palindrome (3554114553).

The spelling of 1424010312 in words is "one billion, four hundred twenty-four million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 101 118 177 202 236 303 354 404 472 531 606 708 808 909 1062 1212 1416 1818 2124 2424 3319 3636 4248 5959 6638 7272 9957 11918 13276 17877 19914 23836 26552 29871 35754 39828 47672 53631 59742 71508 79656 107262 119484 143016 195821 214524 238968 335219 391642 429048 587463 670438 783284 1005657 1174926 1340876 1566568 1762389 2011314 2349852 2681752 3016971 3524778 4022628 4699704 6033942 7049556 8045256 12067884 14099112 19777921 24135768 39555842 59333763 79111684 118667526 158223368 178001289 237335052 356002578 474670104 712005156 1424010312