Search a number
-
+
3052008 = 2332192397
BaseRepresentation
bin1011101001000111101000
312202001120100
423221013220
51240131013
6145225400
734640661
oct13510750
95661510
103052008
1117a5023
121032260
1382b22b
14596368
15404473
hex2e91e8

3052008 has 96 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 912384.

The previous prime is 3052003. The next prime is 3052033. The reversal of 3052008 is 8002503.

3052008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 17472-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3052003) 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 23 ways as a sum of consecutive naturals, for example, 31416 + ... + 31512.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

Almost surely, 23052008 is an apocalyptic number.

3052008 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3052008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

3052008 is an abundant number, since it is smaller than the sum of its proper divisors (6120792).

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

3052008 is a wasteful number, since it uses less digits than its factorization.

3052008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3052008 is about 1746.9997137951. Note that the first 3 decimals coincide. The cubic root of 3052008 is about 145.0536147352.

The spelling of 3052008 in words is "three million, fifty-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 97 114 138 152 171 184 194 207 228 276 291 342 388 414 437 456 552 582 684 776 828 873 874 1164 1311 1368 1656 1746 1748 1843 2231 2328 2622 3492 3496 3686 3933 4462 5244 5529 6693 6984 7372 7866 8924 10488 11058 13386 14744 15732 16587 17848 20079 22116 26772 31464 33174 40158 42389 44232 53544 66348 80316 84778 127167 132696 160632 169556 254334 339112 381501 508668 763002 1017336 1526004 3052008