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3046480 = 245113337
BaseRepresentation
bin1011100111110001010000
312201202222121
423213301100
51234441410
6145144024
734615603
oct13476120
95652877
103046480
1117a0958
12102b014
13828868
1459433a
154029da
hex2e7c50

3046480 has 40 divisors (see below), whose sum is σ = 7166952. Its totient is φ = 1204224.

The previous prime is 3046471. The next prime is 3046487. The reversal of 3046480 is 846403.

3046480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 2999824 = 216^2 + 1732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3046487) 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, 8872 + ... + 9208.

Almost surely, 23046480 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 3046480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583476).

3046480 is an abundant number, since it is smaller than the sum of its proper divisors (4120472).

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

3046480 is a wasteful number, since it uses less digits than its factorization.

3046480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3046480 is about 1745.4168556537. The cubic root of 3046480 is about 144.9659848868.

The spelling of 3046480 in words is "three million, forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 337 452 565 674 904 1130 1348 1685 1808 2260 2696 3370 4520 5392 6740 9040 13480 26960 38081 76162 152324 190405 304648 380810 609296 761620 1523240 3046480