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10343872 = 267112099
BaseRepresentation
bin100111011101…
…010111000000
3201110112010101
4213131113000
510122000442
61005412144
7153631030
oct47352700
921415111
1010343872
115925560
12356a054
1321b2246
1415338c0
15d94cb7
hex9dd5c0

10343872 has 56 divisors (see below), whose sum is σ = 25603200. Its totient is φ = 4028160.

The previous prime is 10343761. The next prime is 10343903. The reversal of 10343872 is 27834301.

10343872 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 (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10343872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3879 + ... + 5977.

It is an arithmetic number, because the mean of its divisors is an integer number (457200).

Almost surely, 210343872 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 10343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801600).

10343872 is an abundant number, since it is smaller than the sum of its proper divisors (15259328).

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

10343872 is a wasteful number, since it uses less digits than its factorization.

10343872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 10343872 is about 3216.1890491698. The cubic root of 10343872 is about 217.8851905072.

The spelling of 10343872 in words is "ten million, three hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2099 2464 4198 4928 8396 14693 16792 23089 29386 33584 46178 58772 67168 92356 117544 134336 161623 184712 235088 323246 369424 470176 646492 738848 940352 1292984 1477696 2585968 5171936 10343872