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1130343424 = 21071031531
BaseRepresentation
bin100001101011111…
…1010110000000000
32220202221101200021
41003113322300000
54303331442144
6304055103224
740003521610
oct10327726000
92822841607
101130343424
1153005a821
12276671b14
13150246082
14aa19aa40
156937b884
hex435fac00

1130343424 has 88 divisors (see below), whose sum is σ = 2609155328. Its totient is φ = 479416320.

The previous prime is 1130343397. The next prime is 1130343433. The reversal of 1130343424 is 4243430311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737539 + ... + 739069.

Almost surely, 21130343424 is an apocalyptic number.

1130343424 is a gapful number since it is divisible by the number (14) 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 1130343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304577664).

1130343424 is an abundant number, since it is smaller than the sum of its proper divisors (1478811904).

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

1130343424 is a wasteful number, since it uses less digits than its factorization.

1130343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1130343424 is about 33620.5803638188. The cubic root of 1130343424 is about 1041.6859439405.

Adding to 1130343424 its reverse (4243430311), we get a palindrome (5373773735).

The spelling of 1130343424 in words is "one billion, one hundred thirty million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 256 412 448 512 721 824 896 1024 1442 1531 1648 1792 2884 3062 3296 3584 5768 6124 6592 7168 10717 11536 12248 13184 21434 23072 24496 26368 42868 46144 48992 52736 85736 92288 97984 105472 157693 171472 184576 195968 315386 342944 369152 391936 630772 685888 738304 783872 1103851 1261544 1371776 1567744 2207702 2523088 2743552 4415404 5046176 5487104 8830808 10092352 10974208 17661616 20184704 35323232 40369408 70646464 80738816 141292928 161477632 282585856 565171712 1130343424