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114446340 = 22325635813
BaseRepresentation
bin1101101001001…
…01000000000100
321222100110212100
412310211000010
5213244240330
615204552100
72556530541
oct664450004
9258313770
10114446340
1159669258
12323b2630
131a931138
14112b1bc8
15a0aa060
hex6d25004

114446340 has 36 divisors (see below), whose sum is σ = 347154444. Its totient is φ = 30518976.

The previous prime is 114446333. The next prime is 114446341. The reversal of 114446340 is 43644411.

It can be written as a sum of positive squares in 2 ways, for example, as 62346816 + 52099524 = 7896^2 + 7218^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (114446341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317727 + ... + 318086.

It is an arithmetic number, because the mean of its divisors is an integer number (9643179).

Almost surely, 2114446340 is an apocalyptic number.

114446340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114446340 is an abundant number, since it is smaller than the sum of its proper divisors (232708104).

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

114446340 is a wasteful number, since it uses less digits than its factorization.

114446340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635828 (or 635823 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 114446340 is about 10697.9596185441. The cubic root of 114446340 is about 485.5127464240.

The spelling of 114446340 in words is "one hundred fourteen million, four hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 635813 1271626 1907439 2543252 3179065 3814878 5722317 6358130 7629756 9537195 11444634 12716260 19074390 22889268 28611585 38148780 57223170 114446340