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3201310340 = 2254111334549
BaseRepresentation
bin1011111011010000…
…0001111010000100
322021002211102012122
42332310001322010
523024013412330
61245355105112
7142221455204
oct27664017204
98232742178
103201310340
1113a3068928
12754142198
133c030a097
1422524a404
1513b0ab5e5
hexbed01e84

3201310340 has 48 divisors (see below), whose sum is σ = 6947866800. Its totient is φ = 1238200320.

The previous prime is 3201310339. The next prime is 3201310351. The reversal of 3201310340 is 430131023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 447999556 + 2753310784 = 21166^2 + 52472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75386 + ... + 109934.

It is an arithmetic number, because the mean of its divisors is an integer number (144747225).

Almost surely, 23201310340 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 3201310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473933400).

3201310340 is an abundant number, since it is smaller than the sum of its proper divisors (3746556460).

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

3201310340 is a wasteful number, since it uses less digits than its factorization.

3201310340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34712 (or 34710 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3201310340 is about 56580.1231882717. The cubic root of 3201310340 is about 1473.8137109179.

Adding to 3201310340 its reverse (430131023), we get a palindrome (3631441363).

The spelling of 3201310340 in words is "three billion, two hundred one million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 113 164 205 226 410 452 565 820 1130 2260 4633 9266 18532 23165 34549 46330 69098 92660 138196 172745 345490 690980 1416509 2833018 3904037 5666036 7082545 7808074 14165090 15616148 19520185 28330180 39040370 78080740 160065517 320131034 640262068 800327585 1600655170 3201310340