Search a number
-
+
3000088 = 237132317
BaseRepresentation
bin1011011100011100011000
312122102100101
423130130120
51232000323
6144145144
734333420
oct13343430
95572311
103000088
11176a013
1210081b4
13810700
14581480
153e3dad
hex2dc718

3000088 has 48 divisors (see below), whose sum is σ = 6983280. Its totient is φ = 1183104.

The previous prime is 3000077. The next prime is 3000089. The reversal of 3000088 is 8800003.

3000088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000089) 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 11 ways as a sum of consecutive naturals, for example, 9306 + ... + 9622.

It is an arithmetic number, because the mean of its divisors is an integer number (145485).

Almost surely, 23000088 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 3000088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491640).

3000088 is an abundant number, since it is smaller than the sum of its proper divisors (3983192).

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

3000088 is a wasteful number, since it uses less digits than its factorization.

3000088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 3000088 is about 1732.0762107944. The cubic root of 3000088 is about 144.2263672165.

The spelling of 3000088 in words is "three million, eighty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 317 338 364 634 676 728 1183 1268 1352 2219 2366 2536 4121 4438 4732 8242 8876 9464 16484 17752 28847 32968 53573 57694 107146 115388 214292 230776 375011 428584 750022 1500044 3000088