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1314254340 = 2232577331423
BaseRepresentation
bin100111001010101…
…1110111000000100
310101121000001000200
41032111132320010
510142422114330
6334225010500
744365656210
oct11625367004
93347001020
101314254340
11614953813
12308183a30
1317c3890b9
14c6791940
157a5a8a60
hex4e55ee04

1314254340 has 144 divisors (see below), whose sum is σ = 4565503488. Its totient is φ = 299780352.

The previous prime is 1314254329. The next prime is 1314254363. The reversal of 1314254340 is 434524131.

It is a happy number.

1314254340 is a `hidden beast` number, since 1 + 314 + 2 + 5 + 4 + 340 = 666.

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, 922869 + ... + 924291.

Almost surely, 21314254340 is an apocalyptic number.

1314254340 is a gapful number since it is divisible by the number (10) 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 1314254340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282751744).

1314254340 is an abundant number, since it is smaller than the sum of its proper divisors (3251249148).

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

1314254340 is a wasteful number, since it uses less digits than its factorization.

1314254340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1314254340 is about 36252.6459723977. The cubic root of 1314254340 is about 1095.3673878252.

Adding to 1314254340 its reverse (434524131), we get a palindrome (1748778471).

The spelling of 1314254340 in words is "one billion, three hundred fourteen million, two hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 733 1260 1423 1466 2199 2846 2932 3665 4269 4398 5131 5692 6597 7115 7330 8538 8796 9961 10262 10995 12807 13194 14230 14660 15393 17076 19922 20524 21345 21990 25614 25655 26388 28460 29883 30786 32985 39844 42690 43980 46179 49805 51228 51310 59766 61572 64035 65970 76965 85380 89649 92358 99610 102620 119532 128070 131940 149415 153930 179298 184716 199220 230895 256140 298830 307860 358596 448245 461790 597660 896490 923580 1043059 1792980 2086118 3129177 4172236 5215295 6258354 7301413 9387531 10430590 12516708 14602826 15645885 18775062 20861180 21904239 29205652 31291770 36507065 37550124 43808478 46937655 62583540 65712717 73014130 87616956 93875310 109521195 131425434 146028260 187750620 219042390 262850868 328563585 438084780 657127170 1314254340