Search a number
-
+
3009240 = 2332513643
BaseRepresentation
bin1011011110101011011000
312122212220100
423132223120
51232243430
6144255400
734402203
oct13365330
95585810
103009240
111775983
121011560
13814920
1458493a
153e6960
hex2dead8

3009240 has 96 divisors (see below), whose sum is σ = 10548720. Its totient is φ = 739584.

The previous prime is 3009233. The next prime is 3009241. The reversal of 3009240 is 429003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009241) 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 23 ways as a sum of consecutive naturals, for example, 4359 + ... + 5001.

Almost surely, 23009240 is an apocalyptic number.

3009240 is a gapful number since it is divisible by the number (30) 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 3009240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274360).

3009240 is an abundant number, since it is smaller than the sum of its proper divisors (7539480).

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

3009240 is a wasteful number, since it uses less digits than its factorization.

3009240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3009240 is about 1734.7161151036. The cubic root of 3009240 is about 144.3728762267.

It can be divided in two parts, 3009 and 240, that added together give a square (3249 = 572).

The spelling of 3009240 in words is "three million, nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 643 780 936 1170 1286 1560 1929 2340 2572 3215 3858 4680 5144 5787 6430 7716 8359 9645 11574 12860 15432 16718 19290 23148 25077 25720 28935 33436 38580 41795 46296 50154 57870 66872 75231 77160 83590 100308 115740 125385 150462 167180 200616 231480 250770 300924 334360 376155 501540 601848 752310 1003080 1504620 3009240