Search a number
-
+
3024990 = 2325192961
BaseRepresentation
bin1011100010100001011110
312200200111200
423202201132
51233244430
6144500330
734466133
oct13424136
95620450
103024990
1117867a1
12101a6a6
1381bb47
1458a58a
153eb460
hex2e285e

3024990 has 96 divisors (see below), whose sum is σ = 8704800. Its totient is φ = 725760.

The previous prime is 3024979. The next prime is 3024991. The reversal of 3024990 is 994203.

3024990 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 (3024991) 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 47 ways as a sum of consecutive naturals, for example, 49560 + ... + 49620.

It is an arithmetic number, because the mean of its divisors is an integer number (90675).

Almost surely, 23024990 is an apocalyptic number.

3024990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3024990 is the 870-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3024990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352400).

3024990 is an abundant number, since it is smaller than the sum of its proper divisors (5679810).

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

3024990 is a wasteful number, since it uses less digits than its factorization.

3024990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3024990 is about 1739.2498382924. The cubic root of 3024990 is about 144.6243148221.

It can be divided in two parts, 30 and 24990, that multiplied together give a triangular number (749700 = T1224).

The spelling of 3024990 in words is "three million, twenty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 29 30 38 45 57 58 61 87 90 95 114 122 145 171 174 183 190 261 285 290 305 342 366 435 522 549 551 570 610 855 870 915 1098 1102 1159 1305 1653 1710 1769 1830 2318 2610 2745 2755 3306 3477 3538 4959 5307 5490 5510 5795 6954 8265 8845 9918 10431 10614 11590 15921 16530 17385 17690 20862 24795 26535 31842 33611 34770 49590 52155 53070 67222 79605 100833 104310 159210 168055 201666 302499 336110 504165 604998 1008330 1512495 3024990