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114314340 = 22357475791
BaseRepresentation
bin1101101000001…
…00110001100100
321222002202210110
412310010301210
5213231024330
615202053020
72555440650
oct664046144
9258082713
10114314340
1159589068
123234a170
131a8b602a
1411279a60
15a080db0
hex6d04c64

114314340 has 96 divisors (see below), whose sum is σ = 373653504. Its totient is φ = 25568640.

The previous prime is 114314327. The next prime is 114314357. The reversal of 114314340 is 43413411.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 16845 + ... + 22635.

It is an arithmetic number, because the mean of its divisors is an integer number (3892224).

Almost surely, 2114314340 is an apocalyptic number.

114314340 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 114314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186826752).

114314340 is an abundant number, since it is smaller than the sum of its proper divisors (259339164).

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

114314340 is a wasteful number, since it uses less digits than its factorization.

114314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114314340 is about 10691.7884378620. The cubic root of 114314340 is about 485.3260145534.

Adding to 114314340 its reverse (43413411), we get a palindrome (157727751).

The spelling of 114314340 in words is "one hundred fourteen million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3948 4935 5791 6580 9870 11582 17373 19740 23164 28955 34746 40537 57910 69492 81074 86865 115820 121611 162148 173730 202685 243222 272177 347460 405370 486444 544354 608055 810740 816531 1088708 1216110 1360885 1633062 1905239 2432220 2721770 3266124 3810478 4082655 5443540 5715717 7620956 8165310 9526195 11431434 16330620 19052390 22862868 28578585 38104780 57157170 114314340