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3221126340 = 22351710131267
BaseRepresentation
bin1011111111111110…
…0111110011000100
322022111010011122120
42333333213303010
523044102020330
61251343525540
7142552056615
oct27777476304
98274104576
103221126340
111403272993
1275a8b98b0
133c4457823
14227b27c0c
1513cbc2c10
hexbffe7cc4

3221126340 has 96 divisors (see below), whose sum is σ = 9644552064. Its totient is φ = 800409600.

The previous prime is 3221126267. The next prime is 3221126401. The reversal of 3221126340 is 436211223.

It is a self number, because there is not a number n which added to its sum of digits gives 3221126340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87387 + ... + 118653.

It is an arithmetic number, because the mean of its divisors is an integer number (100464084).

Almost surely, 23221126340 is an apocalyptic number.

3221126340 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 3221126340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822276032).

3221126340 is an abundant number, since it is smaller than the sum of its proper divisors (6423425724).

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

3221126340 is a wasteful number, since it uses less digits than its factorization.

3221126340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31397 (or 31395 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3221126340 is about 56754.9675358906. The cubic root of 3221126340 is about 1476.8484098662.

Adding to 3221126340 its reverse (436211223), we get a palindrome (3657337563).

The spelling of 3221126340 in words is "three billion, two hundred twenty-one million, one hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 101 102 170 202 204 255 303 340 404 505 510 606 1010 1020 1212 1515 1717 2020 3030 3434 5151 6060 6868 8585 10302 17170 20604 25755 31267 34340 51510 62534 93801 103020 125068 156335 187602 312670 375204 469005 531539 625340 938010 1063078 1594617 1876020 2126156 2657695 3157967 3189234 5315390 6315934 6378468 7973085 9473901 10630780 12631868 15789835 15946170 18947802 31579670 31892340 37895604 47369505 53685439 63159340 94739010 107370878 161056317 189478020 214741756 268427195 322112634 536854390 644225268 805281585 1073708780 1610563170 3221126340