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16201344 = 273311361
BaseRepresentation
bin111101110011…
…011010000000
31010111010001210
4331303122000
513121420334
61335130120
7254465145
oct75633200
933433053
1016201344
119166345
125513940
1334833c3
14221a3cc
1516505e9
hexf73680

16201344 has 64 divisors (see below), whose sum is σ = 44455680. Its totient is φ = 5222400.

The previous prime is 16201331. The next prime is 16201349. The reversal of 16201344 is 44310261.

16201344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 16201344.

It is not an unprimeable number, because it can be changed into a prime (16201349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11224 + ... + 12584.

It is an arithmetic number, because the mean of its divisors is an integer number (694620).

Almost surely, 216201344 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 16201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22227840).

16201344 is an abundant number, since it is smaller than the sum of its proper divisors (28254336).

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

16201344 is a wasteful number, since it uses less digits than its factorization.

16201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 16201344 is about 4025.0893157792. The cubic root of 16201344 is about 253.0367967643.

The spelling of 16201344 in words is "sixteen million, two hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1361 1488 1984 2722 2976 3968 4083 5444 5952 8166 10888 11904 16332 21776 32664 42191 43552 65328 84382 87104 126573 130656 168764 174208 253146 261312 337528 506292 522624 675056 1012584 1350112 2025168 2700224 4050336 5400448 8100672 16201344