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2276832 = 25337641
BaseRepresentation
bin1000101011110111100000
311021200020010
420223313200
51040324312
6120444520
725231665
oct10536740
94250203
102276832
111315688
12919740
1361944c
14433a6c
152ee93c
hex22bde0

2276832 has 48 divisors (see below), whose sum is σ = 6147792. Its totient is φ = 737280.

The previous prime is 2276809. The next prime is 2276849. The reversal of 2276832 is 2386722.

2276832 is digitally balanced in base 2 and base 5, because in such bases 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 (48).

It is a d-powerful number, because it can be written as 27 + 211 + 73 + 6 + 8 + 311 + 221 .

It is a self number, because there is not a number n which added to its sum of digits gives 2276832.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3232 + ... + 3872.

It is an arithmetic number, because the mean of its divisors is an integer number (128079).

22276832 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 2276832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073896).

2276832 is an abundant number, since it is smaller than the sum of its proper divisors (3870960).

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

2276832 is a wasteful number, since it uses less digits than its factorization.

2276832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 683 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2276832 is about 1508.9174927742. The cubic root of 2276832 is about 131.5558996487. Note that the first 3 decimals are identical.

The spelling of 2276832 in words is "two million, two hundred seventy-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 641 888 1184 1282 1776 1923 2564 3552 3846 5128 7692 10256 15384 20512 23717 30768 47434 61536 71151 94868 142302 189736 284604 379472 569208 758944 1138416 2276832