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2904940 = 225337431
BaseRepresentation
bin1011000101001101101100
312110120211101
423011031230
51220424230
6142132444
733456133
oct13051554
95416741
102904940
111704585
12b81124
137a92cc
1455891a
153c5aca
hex2c536c

2904940 has 24 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 1155840.

The previous prime is 2904893. The next prime is 2904947. The reversal of 2904940 is 494092.

2904940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2904899 and 2904908.

It is not an unprimeable number, because it can be changed into a prime (2904947) by changing a digit.

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, 6525 + ... + 6955.

It is an arithmetic number, because the mean of its divisors is an integer number (255528).

22904940 is an apocalyptic number.

2904940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2904940 is an abundant number, since it is smaller than the sum of its proper divisors (3227732).

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

2904940 is a wasteful number, since it uses less digits than its factorization.

2904940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2904940 is about 1704.3884533756. The cubic root of 2904940 is about 142.6852418046.

It can be divided in two parts, 2904 and 940, that added together give a square (3844 = 622).

The spelling of 2904940 in words is "two million, nine hundred four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 337 431 674 862 1348 1685 1724 2155 3370 4310 6740 8620 145247 290494 580988 726235 1452470 2904940