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11342828 = 2272961229
BaseRepresentation
bin101011010001…
…001111101100
3210100021102202
4223101033230
510400432303
61043041032
7165261320
oct53211754
923307382
1011342828
116448042
123970178
132471b43
141713980
15ee0c88
hexad13ec

11342828 has 48 divisors (see below), whose sum is σ = 23956800. Its totient is φ = 4596480.

The previous prime is 11342819. The next prime is 11342833. The reversal of 11342828 is 82824311.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 11342828.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49418 + ... + 49646.

It is an arithmetic number, because the mean of its divisors is an integer number (499100).

Almost surely, 211342828 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 11342828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978400).

11342828 is an abundant number, since it is smaller than the sum of its proper divisors (12613972).

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

11342828 is a wasteful number, since it uses less digits than its factorization.

11342828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 11342828 is about 3367.9115190278. The cubic root of 11342828 is about 224.6848460176.

The spelling of 11342828 in words is "eleven million, three hundred forty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 29 58 61 116 122 203 229 244 406 427 458 812 854 916 1603 1708 1769 3206 3538 6412 6641 7076 12383 13282 13969 24766 26564 27938 46487 49532 55876 92974 97783 185948 195566 391132 405101 810202 1620404 2835707 5671414 11342828