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3006740 = 2251179173
BaseRepresentation
bin1011011110000100010100
312122202110202
423132010110
51232203430
6144240032
734362002
oct13360424
95582422
103006740
111774010
121010018
13813749
14583a72
153e5d45
hex2de114

3006740 has 48 divisors (see below), whose sum is σ = 7015680. Its totient is φ = 1073280.

The previous prime is 3006737. The next prime is 3006761. The reversal of 3006740 is 476003.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17294 + ... + 17466.

It is an arithmetic number, because the mean of its divisors is an integer number (146160).

Almost surely, 23006740 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 3006740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507840).

3006740 is an abundant number, since it is smaller than the sum of its proper divisors (4008940).

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

3006740 is a wasteful number, since it uses less digits than its factorization.

3006740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 3006740 is about 1733.9953863837. The cubic root of 3006740 is about 144.3328847130.

The spelling of 3006740 in words is "three million, six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 173 220 316 346 395 692 790 865 869 1580 1730 1738 1903 3460 3476 3806 4345 7612 8690 9515 13667 17380 19030 27334 38060 54668 68335 136670 150337 273340 300674 601348 751685 1503370 3006740