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3013824 = 263111427
BaseRepresentation
bin1011011111110011000000
312200010012010
423133303000
51232420244
6144332520
734421442
oct13376300
95603163
103013824
111779370
121014140
13816a38
14586492
153e7eb9
hex2dfcc0

3013824 has 56 divisors (see below), whose sum is σ = 8705088. Its totient is φ = 912640.

The previous prime is 3013817. The next prime is 3013841. The reversal of 3013824 is 4283103.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3013824.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1399 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (155448).

Almost surely, 23013824 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 3013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352544).

3013824 is an abundant number, since it is smaller than the sum of its proper divisors (5691264).

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

3013824 is a wasteful number, since it uses less digits than its factorization.

3013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3013824 is about 1736.0368659680. The cubic root of 3013824 is about 144.4461471638.

Adding to 3013824 its reverse (4283103), we get a palindrome (7296927).

The spelling of 3013824 in words is "three million, thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1427 2112 2854 4281 5708 8562 11416 15697 17124 22832 31394 34248 45664 47091 62788 68496 91328 94182 125576 136992 188364 251152 273984 376728 502304 753456 1004608 1506912 3013824