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2280376 = 23743947
BaseRepresentation
bin1000101100101110111000
311021212002101
420230232320
51040433001
6120513144
725245220
oct10545670
94255071
102280376
11131830a
1291b7b4
1361ac47
14435080
15300a01
hex22cbb8

2280376 has 32 divisors (see below), whose sum is σ = 5005440. Its totient is φ = 953568.

The previous prime is 2280367. The next prime is 2280401. The reversal of 2280376 is 6730822.

2280376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22803762 = 10400229402752, which contains 22 as substring.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 215 + 221 + 85 + 0 + 3 + 76 + 62 .

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, 1935 + ... + 2881.

It is an arithmetic number, because the mean of its divisors is an integer number (156420).

22280376 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 2280376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502720).

2280376 is an abundant number, since it is smaller than the sum of its proper divisors (2725064).

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

2280376 is a wasteful number, since it uses less digits than its factorization.

2280376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 999 counting only the distinct ones).

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

The square root of 2280376 is about 1510.0913879630. The cubic root of 2280376 is about 131.6241219875.

The spelling of 2280376 in words is "two million, two hundred eighty thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 947 1204 1894 2408 3788 6629 7576 13258 26516 40721 53032 81442 162884 285047 325768 570094 1140188 2280376