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5814340 = 2257217349
BaseRepresentation
bin10110001011100001000100
3101221101202221
4112023201010
52442024330
6324342124
7100264300
oct26134104
911841687
105814340
113311444
121b44944
13128764c
14ab4d00
1579cb7a
hex58b844

5814340 has 72 divisors (see below), whose sum is σ = 15082200. Its totient is φ = 1870848.

The previous prime is 5814317. The next prime is 5814343. The reversal of 5814340 is 434185.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 4008004 = 1344^2 + 2002^2 .

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (5814343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16486 + ... + 16834.

It is an arithmetic number, because the mean of its divisors is an integer number (209475).

Almost surely, 25814340 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 5814340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541100).

5814340 is an abundant number, since it is smaller than the sum of its proper divisors (9267860).

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

5814340 is a wasteful number, since it uses less digits than its factorization.

5814340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5814340 is about 2411.2942582771. The cubic root of 5814340 is about 179.8181290578.

The spelling of 5814340 in words is "five million, eight hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 349 476 490 595 698 833 980 1190 1396 1666 1745 2380 2443 3332 3490 4165 4886 5933 6980 8330 9772 11866 12215 16660 17101 23732 24430 29665 34202 41531 48860 59330 68404 83062 85505 118660 166124 171010 207655 290717 342020 415310 581434 830620 1162868 1453585 2907170 5814340