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3034224440 = 2351310095783
BaseRepresentation
bin1011010011011010…
…1001011100111000
321211110102120102222
42310312221130320
522203230140230
61221025543212
7135122324252
oct26466513470
97743376388
103034224440
111317816805
127081a4b08
133948082a0
1420ad94cd2
1512b5a46e5
hexb4da9738

3034224440 has 64 divisors (see below), whose sum is σ = 7360718400. Its totient is φ = 1119025152.

The previous prime is 3034224421. The next prime is 3034224461. The reversal of 3034224440 is 444224303.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 521789 + ... + 527571.

It is an arithmetic number, because the mean of its divisors is an integer number (115011225).

Almost surely, 23034224440 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 3034224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680359200).

3034224440 is an abundant number, since it is smaller than the sum of its proper divisors (4326493960).

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

3034224440 is a wasteful number, since it uses less digits than its factorization.

3034224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 3034224440 is about 55083.7947131459. The cubic root of 3034224440 is about 1447.7133105081.

Adding to 3034224440 its reverse (444224303), we get a palindrome (3478448743).

The spelling of 3034224440 in words is "three billion, thirty-four million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1009 2018 4036 5045 5783 8072 10090 11566 13117 20180 23132 26234 28915 40360 46264 52468 57830 65585 75179 104936 115660 131170 150358 231320 262340 300716 375895 524680 601432 751790 1503580 3007160 5835047 11670094 23340188 29175235 46680376 58350470 75855611 116700940 151711222 233401880 303422444 379278055 606844888 758556110 1517112220 3034224440