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12038334 = 2371171367
BaseRepresentation
bin101101111011…
…000010111110
3211122121111020
4231323002332
511040211314
61110005010
7204216120
oct55730276
924577436
1012038334
116882640
124046766
132656599
141855210
1510cbda9
hexb7b0be

12038334 has 64 divisors (see below), whose sum is σ = 30523392. Its totient is φ = 3074400.

The previous prime is 12038317. The next prime is 12038339. The reversal of 12038334 is 43383021.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12038339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32619 + ... + 32985.

It is an arithmetic number, because the mean of its divisors is an integer number (476928).

Almost surely, 212038334 is an apocalyptic number.

12038334 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 12038334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261696).

12038334 is an abundant number, since it is smaller than the sum of its proper divisors (18485058).

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

12038334 is a wasteful number, since it uses less digits than its factorization.

12038334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 12038334 is about 3469.6302396653. The cubic root of 12038334 is about 229.1863753555.

The spelling of 12038334 in words is "twelve million, thirty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 71 77 142 154 213 231 367 426 462 497 734 781 994 1101 1491 1562 2202 2343 2569 2982 4037 4686 5138 5467 7707 8074 10934 12111 15414 16401 24222 26057 28259 32802 52114 56518 78171 84777 156342 169554 182399 286627 364798 547197 573254 859881 1094394 1719762 2006389 4012778 6019167 12038334