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3334448340 = 223251710110789
BaseRepresentation
bin1100011010111111…
…1010010011010100
322121101100112012200
43012233322103110
523312104321330
61310512444500
7145426225506
oct30657722324
98541315180
103334448340
111461233433
12790849730
13411a83c72
14238bc5d76
15147b09a60
hexc6bfa4d4

3334448340 has 144 divisors (see below), whose sum is σ = 10816500240. Its totient is φ = 828518400.

The previous prime is 3334448329. The next prime is 3334448347. The reversal of 3334448340 is 438444333.

It can be written as a sum of positive squares in 8 ways, for example, as 384003216 + 2950445124 = 19596^2 + 54318^2 .

It is a super-2 number, since 2×33344483402 = 22237091464257511200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3334448295 and 3334448304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334448347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303666 + ... + 314454.

It is an arithmetic number, because the mean of its divisors is an integer number (75114585).

Almost surely, 23334448340 is an apocalyptic number.

3334448340 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 3334448340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408250120).

3334448340 is an abundant number, since it is smaller than the sum of its proper divisors (7482051900).

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

3334448340 is a wasteful number, since it uses less digits than its factorization.

3334448340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922 (or 10917 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The square root of 3334448340 is about 57744.6823525768. The cubic root of 3334448340 is about 1493.9681234899.

The spelling of 3334448340 in words is "three billion, three hundred thirty-four million, four hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 101 102 153 170 180 202 204 255 303 306 340 404 505 510 606 612 765 909 1010 1020 1212 1515 1530 1717 1818 2020 3030 3060 3434 3636 4545 5151 6060 6868 8585 9090 10302 10789 15453 17170 18180 20604 21578 25755 30906 32367 34340 43156 51510 53945 61812 64734 77265 97101 103020 107890 129468 154530 161835 183413 194202 215780 309060 323670 366826 388404 485505 550239 647340 733652 917065 971010 1089689 1100478 1650717 1834130 1942020 2179378 2200956 2751195 3269067 3301434 3668260 4358756 5448445 5502390 6538134 6602868 8253585 9807201 10896890 11004780 13076268 16345335 16507170 18524713 19614402 21793780 32690670 33014340 37049426 39228804 49036005 55574139 65381340 74098852 92623565 98072010 111148278 166722417 185247130 196144020 222296556 277870695 333444834 370494260 555741390 666889668 833612085 1111482780 1667224170 3334448340