Search a number
-
+
3024420 = 2235719379
BaseRepresentation
bin1011100010011000100100
312200122201120
423202120210
51233240140
6144453540
734464360
oct13423044
95618646
103024420
111786323
12101a2b0
1381b7c9
1458a2a0
153eb1d0
hex2e2624

3024420 has 96 divisors (see below), whose sum is σ = 10214400. Its totient is φ = 653184.

The previous prime is 3024409. The next prime is 3024433. The reversal of 3024420 is 244203.

It is a happy number.

3024420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3024420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7791 + ... + 8169.

It is an arithmetic number, because the mean of its divisors is an integer number (106400).

Almost surely, 23024420 is an apocalyptic number.

3024420 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 3024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107200).

3024420 is an abundant number, since it is smaller than the sum of its proper divisors (7189980).

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

3024420 is a wasteful number, since it uses less digits than its factorization.

3024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3024420 is about 1739.0859668228. The cubic root of 3024420 is about 144.6152303802.

Adding to 3024420 its reverse (244203), we get a palindrome (3268623).

The spelling of 3024420 in words is "three million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 379 380 399 420 532 570 665 758 798 1137 1140 1330 1516 1596 1895 1995 2274 2653 2660 3790 3990 4548 5306 5685 7201 7580 7959 7980 10612 11370 13265 14402 15918 21603 22740 26530 28804 31836 36005 39795 43206 50407 53060 72010 79590 86412 100814 108015 144020 151221 159180 201628 216030 252035 302442 432060 504070 604884 756105 1008140 1512210 3024420