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3130343440 = 245724119477
BaseRepresentation
bin1011101010010101…
…0100000000010000
322002011021220220221
42322211110000100
522402331442230
61234342042424
7140400323500
oct27245240020
98064256827
103130343440
111366aa73a4
12734419414
133ab6c0433
14219a55a00
15134c3e27a
hexba954010

3130343440 has 120 divisors (see below), whose sum is σ = 8673241752. Its totient is φ = 1047029760.

The previous prime is 3130343407. The next prime is 3130343473. The reversal of 3130343440 is 443430313.

It is an interprime number because it is at equal distance from previous prime (3130343407) and next prime (3130343473).

It can be written as a sum of positive squares in 4 ways, for example, as 69155856 + 3061187584 = 8316^2 + 55328^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150982 + ... + 170458.

Almost surely, 23130343440 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 3130343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336620876).

3130343440 is an abundant number, since it is smaller than the sum of its proper divisors (5542898312).

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

3130343440 is a wasteful number, since it uses less digits than its factorization.

3130343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19545 (or 19532 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 3130343440 is about 55949.4722048385. The cubic root of 3130343440 is about 1462.8416913172.

Adding to 3130343440 its reverse (443430313), we get a palindrome (3573773753).

The spelling of 3130343440 in words is "three billion, one hundred thirty million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 49 56 70 80 82 98 112 140 164 196 205 245 280 287 328 392 410 490 560 574 656 784 820 980 1148 1435 1640 1960 2009 2296 2870 3280 3920 4018 4592 5740 8036 10045 11480 16072 19477 20090 22960 32144 38954 40180 77908 80360 97385 136339 155816 160720 194770 272678 311632 389540 545356 681695 779080 798557 954373 1090712 1363390 1558160 1597114 1908746 2181424 2726780 3194228 3817492 3992785 4771865 5453560 5589899 6388456 7634984 7985570 9543730 10907120 11179798 12776912 15269968 15971140 19087460 22359596 27949495 31942280 38174920 39129293 44719192 55898990 63884560 76349840 78258586 89438384 111797980 156517172 195646465 223595960 313034344 391292930 447191920 626068688 782585860 1565171720 3130343440