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3023424 = 263229181
BaseRepresentation
bin1011100010001001000000
312200121100200
423202021000
51233222144
6144445200
734461435
oct13421100
95617320
103023424
1117855a8
121019800
1381b211
14589b8c
153eac69
hex2e2240

3023424 has 84 divisors (see below), whose sum is σ = 9014460. Its totient is φ = 967680.

The previous prime is 3023417. The next prime is 3023429. The reversal of 3023424 is 4243203.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 2433600 = 768^2 + 1560^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3023397 and 3023406.

It is not an unprimeable number, because it can be changed into a prime (3023429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16614 + ... + 16794.

It is an arithmetic number, because the mean of its divisors is an integer number (107315).

Almost surely, 23023424 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 3023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507230).

3023424 is an abundant number, since it is smaller than the sum of its proper divisors (5991036).

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

3023424 is a wasteful number, since it uses less digits than its factorization.

3023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3023424 is about 1738.7995859213. The cubic root of 3023424 is about 144.5993537732.

Adding to 3023424 its reverse (4243203), we get a palindrome (7266627).

The spelling of 3023424 in words is "three million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 181 192 232 261 288 348 362 464 522 543 576 696 724 928 1044 1086 1392 1448 1629 1856 2088 2172 2784 2896 3258 4176 4344 5249 5568 5792 6516 8352 8688 10498 11584 13032 15747 16704 17376 20996 26064 31494 34752 41992 47241 52128 62988 83984 94482 104256 125976 167968 188964 251952 335936 377928 503904 755856 1007808 1511712 3023424