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114000340 = 22538914653
BaseRepresentation
bin1101100101110…
…00000111010100
321221111211001211
412302320013110
5213141002330
615151231204
72552662336
oct662700724
9257454054
10114000340
1159394163
1232218504
131a80612c
14111d7456
15a01cd2a
hex6cb81d4

114000340 has 24 divisors (see below), whose sum is σ = 240032520. Its totient is φ = 45479808.

The previous prime is 114000329. The next prime is 114000349. The reversal of 114000340 is 43000411.

It can be written as a sum of positive squares in 4 ways, for example, as 13439556 + 100560784 = 3666^2 + 10028^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114000340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114000349) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 454 + ... + 15106.

It is an arithmetic number, because the mean of its divisors is an integer number (10001355).

Almost surely, 2114000340 is an apocalyptic number.

114000340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114000340 is an abundant number, since it is smaller than the sum of its proper divisors (126032180).

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

114000340 is a wasteful number, since it uses less digits than its factorization.

114000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15051 (or 15049 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 114000340 is about 10677.0941739782. The cubic root of 114000340 is about 484.8812406287.

Adding to 114000340 its reverse (43000411), we get a palindrome (157000751).

The spelling of 114000340 in words is "one hundred fourteen million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 389 778 1556 1945 3890 7780 14653 29306 58612 73265 146530 293060 5700017 11400034 22800068 28500085 57000170 114000340