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2040314310 = 2325374314249
BaseRepresentation
bin111100110011100…
…1011100111000110
312021012012201001200
41321213023213012
513134310024220
6534243003330
7101363246136
oct17147134706
95235181050
102040314310
11957782381
1248b369546
13266920c98
14154d90ac6
15be1c7890
hex799cb9c6

2040314310 has 96 divisors (see below), whose sum is σ = 5575284000. Its totient is φ = 517031424.

The previous prime is 2040314299. The next prime is 2040314323. The reversal of 2040314310 is 134130402.

2040314310 is a `hidden beast` number, since 2 + 0 + 40 + 314 + 310 = 666.

It is a super-2 number, since 2×20403143102 = 8325764967181552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136066 + ... + 150314.

It is an arithmetic number, because the mean of its divisors is an integer number (58075875).

Almost surely, 22040314310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040314310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787642000).

2040314310 is an abundant number, since it is smaller than the sum of its proper divisors (3534969690).

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

2040314310 is a wasteful number, since it uses less digits than its factorization.

2040314310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14342 (or 14339 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2040314310 is about 45169.8384987150. The cubic root of 2040314310 is about 1268.3302730942.

Adding to 2040314310 its reverse (134130402), we get a palindrome (2174444712).

The spelling of 2040314310 in words is "two billion, forty million, three hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 43 45 74 86 90 111 129 185 215 222 258 333 370 387 430 555 645 666 774 1110 1290 1591 1665 1935 3182 3330 3870 4773 7955 9546 14249 14319 15910 23865 28498 28638 42747 47730 71245 71595 85494 128241 142490 143190 213735 256482 427470 527213 612707 641205 1054426 1225414 1282410 1581639 1838121 2636065 3063535 3163278 3676242 4744917 5272130 5514363 6127070 7908195 9190605 9489834 11028726 15816390 18381210 22670159 23724585 27571815 45340318 47449170 55143630 68010477 113350795 136020954 204031431 226701590 340052385 408062862 680104770 1020157155 2040314310