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12034134 = 2327149641
BaseRepresentation
bin101101111010…
…000001010110
3211122101201200
4231322001112
511040043014
61105533330
7204200640
oct55720126
924571650
1012034134
11687a472
124044246
1326546b8
141853890
1510caa09
hexb7a056

12034134 has 48 divisors (see below), whose sum is σ = 30045600. Its totient is φ = 3409920.

The previous prime is 12034133. The next prime is 12034151. The reversal of 12034134 is 43143021.

12034134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120341342 = 289640762259912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18454 + ... + 19094.

It is an arithmetic number, because the mean of its divisors is an integer number (625950).

Almost surely, 212034134 is an apocalyptic number.

12034134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12034134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15022800).

12034134 is an abundant number, since it is smaller than the sum of its proper divisors (18011466).

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

12034134 is a wasteful number, since it uses less digits than its factorization.

12034134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12034134 is about 3469.0249350502. The cubic root of 12034134 is about 229.1597189886.

Adding to 12034134 its reverse (43143021), we get a palindrome (55177155).

The spelling of 12034134 in words is "twelve million, thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 298 447 641 894 1043 1282 1341 1923 2086 2682 3129 3846 4487 5769 6258 8974 9387 11538 13461 18774 26922 40383 80766 95509 191018 286527 573054 668563 859581 1337126 1719162 2005689 4011378 6017067 12034134