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2014040340 = 2232513860701
BaseRepresentation
bin111100000001011…
…1101000100010100
312012100202211221200
41320002331010110
513111043242330
6531503512500
7100624026504
oct17002750424
95170684850
102014040340
11943967354
124825b8730
13261351c60
141516b1a04
15bbc37a60
hex780bd114

2014040340 has 72 divisors (see below), whose sum is σ = 6579206088. Its totient is φ = 495763200.

The previous prime is 2014040323. The next prime is 2014040359. The reversal of 2014040340 is 430404102.

It can be written as a sum of positive squares in 4 ways, for example, as 78216336 + 1935824004 = 8844^2 + 43998^2 .

It is a super-3 number, since 3×20140403403 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428011 + ... + 432690.

Almost surely, 22014040340 is an apocalyptic number.

2014040340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014040340 is an abundant number, since it is smaller than the sum of its proper divisors (4565165748).

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

2014040340 is a wasteful number, since it uses less digits than its factorization.

2014040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860729 (or 860724 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2014040340 is about 44878.0607869814. The cubic root of 2014040340 is about 1262.8624641714.

Adding to 2014040340 its reverse (430404102), we get a palindrome (2444444442).

The spelling of 2014040340 in words is "two billion, fourteen million, forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 860701 1721402 2582103 3442804 4303505 5164206 7746309 8607010 10328412 11189113 12910515 15492618 17214020 22378226 25821030 30985236 33567339 38731545 44756452 51642060 55945565 67134678 77463090 100702017 111891130 134269356 154926180 167836695 201404034 223782260 335673390 402808068 503510085 671346780 1007020170 2014040340