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3013342440 = 2335297511153
BaseRepresentation
bin1011001110011011…
…1111010011101000
321210000010122201120
42303212333103220
522132403424230
61215002215240
7134446662633
oct26346772350
97700118646
103013342440
111306a53859
127011b4520
133903a6584
142082bac1a
1512982c310
hexb39bf4e8

3013342440 has 128 divisors (see below), whose sum is σ = 9372326400. Its totient is φ = 774144000.

The previous prime is 3013342421. The next prime is 3013342441. The reversal of 3013342440 is 442433103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3013342440.

It is not an unprimeable number, because it can be changed into a prime (3013342441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2612904 + ... + 2614056.

It is an arithmetic number, because the mean of its divisors is an integer number (73221300).

Almost surely, 23013342440 is an apocalyptic number.

3013342440 is a gapful number since it is divisible by the number (30) 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 3013342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686163200).

3013342440 is an abundant number, since it is smaller than the sum of its proper divisors (6358983960).

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

3013342440 is a wasteful number, since it uses less digits than its factorization.

3013342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3013342440 is about 54893.9198818958. The cubic root of 3013342440 is about 1444.3845337325.

Adding to 3013342440 its reverse (442433103), we get a palindrome (3455775543).

The spelling of 3013342440 in words is "three billion, thirteen million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 751 870 1153 1160 1502 1740 2253 2306 3004 3459 3480 3755 4506 4612 5765 6008 6918 7510 9012 9224 11265 11530 13836 15020 17295 18024 21779 22530 23060 27672 30040 33437 34590 43558 45060 46120 65337 66874 69180 87116 90120 100311 108895 130674 133748 138360 167185 174232 200622 217790 261348 267496 326685 334370 401244 435580 501555 522696 653370 668740 802488 865903 871160 1003110 1306740 1337480 1731806 2006220 2597709 2613480 3463612 4012440 4329515 5195418 6927224 8659030 10390836 12988545 17318060 20781672 25111187 25977090 34636120 50222374 51954180 75333561 100444748 103908360 125555935 150667122 200889496 251111870 301334244 376667805 502223740 602668488 753335610 1004447480 1506671220 3013342440