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2014340 = 2252329151
BaseRepresentation
bin111101011110010000100
310210100011012
413223302010
51003424330
6111101352
723056466
oct7536204
93710135
102014340
111156449
12811858
13556b23
143a6136
1529bc95
hex1ebc84

2014340 has 48 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 739200.

The previous prime is 2014333. The next prime is 2014351. The reversal of 2014340 is 434102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13265 + ... + 13415.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

22014340 is an apocalyptic number.

2014340 is a gapful number since it is divisible by the number (20) 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 2014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

2014340 is an abundant number, since it is smaller than the sum of its proper divisors (2582140).

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

2014340 is a wasteful number, since it uses less digits than its factorization.

2014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2014340 is about 1419.2744625336. The cubic root of 2014340 is about 126.2925092940.

Adding to 2014340 its reverse (434102), we get a palindrome (2448442).

The spelling of 2014340 in words is "two million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 151 230 290 302 460 580 604 667 755 1334 1510 2668 3020 3335 3473 4379 6670 6946 8758 13340 13892 17365 17516 21895 34730 43790 69460 87580 100717 201434 402868 503585 1007170 2014340