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16338996 = 2234211239
BaseRepresentation
bin111110010101…
…000000110100
31010202002220000
4332111000310
513140321441
61342111300
7255610362
oct76250064
933662800
1016338996
11924a803
12557b530
133500c5b
142254632
15167b2b6
hexf95034

16338996 has 60 divisors (see below), whose sum is σ = 43095360. Its totient is φ = 5397840.

The previous prime is 16338979. The next prime is 16338997. The reversal of 16338996 is 69983361.

16338996 is a `hidden beast` number, since 1 + 633 + 8 + 9 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16338997) 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 19 ways as a sum of consecutive naturals, for example, 68245 + ... + 68483.

It is an arithmetic number, because the mean of its divisors is an integer number (718256).

Almost surely, 216338996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16338996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547680).

16338996 is an abundant number, since it is smaller than the sum of its proper divisors (26756364).

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

16338996 is a wasteful number, since it uses less digits than its factorization.

16338996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 16338996 is about 4042.1523969291. The cubic root of 16338996 is about 253.7514049442.

The spelling of 16338996 in words is "sixteen million, three hundred thirty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 239 324 422 478 633 717 844 956 1266 1434 1899 2151 2532 2868 3798 4302 5697 6453 7596 8604 11394 12906 17091 19359 22788 25812 34182 38718 50429 68364 77436 100858 151287 201716 302574 453861 605148 907722 1361583 1815444 2723166 4084749 5446332 8169498 16338996