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3004540 = 2257111951
BaseRepresentation
bin1011011101100001111100
312122122110021
423131201330
51232121130
6144221524
734352410
oct13354174
95578407
103004540
1117723a0
12100a8a4
13812746
14582d40
153e537a
hex2dd87c

3004540 has 48 divisors (see below), whose sum is σ = 7870464. Its totient is φ = 936000.

The previous prime is 3004537. The next prime is 3004543. The reversal of 3004540 is 454003.

It is an interprime number because it is at equal distance from previous prime (3004537) and next prime (3004543).

It is a super-2 number, since 2×30045402 = 18054521223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004543) by changing a digit.

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, 565 + ... + 2515.

It is an arithmetic number, because the mean of its divisors is an integer number (163968).

Almost surely, 23004540 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 3004540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935232).

3004540 is an abundant number, since it is smaller than the sum of its proper divisors (4865924).

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

3004540 is a wasteful number, since it uses less digits than its factorization.

3004540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 3004540 is about 1733.3608972167. The cubic root of 3004540 is about 144.2976738398.

Adding to 3004540 its reverse (454003), we get a palindrome (3458543).

The spelling of 3004540 in words is "three million, four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1951 3902 7804 9755 13657 19510 21461 27314 39020 42922 54628 68285 85844 107305 136570 150227 214610 273140 300454 429220 600908 751135 1502270 3004540