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11838312 = 233418269
BaseRepresentation
bin101101001010…
…001101101000
3211021110010000
4231022031220
511012311222
61101423000
7202424013
oct55121550
924243100
1011838312
116756332
123b6aa60
1325b6525
14180237a
15108c9ac
hexb4a368

11838312 has 40 divisors (see below), whose sum is σ = 33160050. Its totient is φ = 3945888.

The previous prime is 11838301. The next prime is 11838317. The reversal of 11838312 is 21383811.

It can be written as a sum of positive squares in only one way, i.e., 9036036 + 2802276 = 3006^2 + 1674^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11838317) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 8487 + ... + 9782.

Almost surely, 211838312 is an apocalyptic number.

11838312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11838312 is an abundant number, since it is smaller than the sum of its proper divisors (21321738).

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

11838312 is a wasteful number, since it uses less digits than its factorization.

11838312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18287 (or 18274 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 11838312 is about 3440.6848155563. The cubic root of 11838312 is about 227.9099367276.

The spelling of 11838312 in words is "eleven million, eight hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 18269 36538 54807 73076 109614 146152 164421 219228 328842 438456 493263 657684 986526 1315368 1479789 1973052 2959578 3946104 5919156 11838312