Search a number
-
+
3042984 = 233759307
BaseRepresentation
bin1011100110111010101000
312201121012010
423212322220
51234333414
6145115520
734602450
oct13467250
95647163
103042984
11179926a
121028ba0
138270a9
14592d60
15401959
hex2e6ea8

3042984 has 64 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 851904.

The previous prime is 3042971. The next prime is 3042997. The reversal of 3042984 is 4892403.

It is a happy number.

3042984 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3042971) and next prime (3042997).

3042984 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9759 + ... + 10065.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

Almost surely, 23042984 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 3042984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

3042984 is an abundant number, since it is smaller than the sum of its proper divisors (5827416).

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

3042984 is a wasteful number, since it uses less digits than its factorization.

3042984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3042984 is about 1744.4150882173. The cubic root of 3042984 is about 144.9105115681.

The spelling of 3042984 in words is "three million, forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 307 354 413 472 614 708 826 921 1228 1239 1416 1652 1842 2149 2456 2478 3304 3684 4298 4956 6447 7368 8596 9912 12894 17192 18113 25788 36226 51576 54339 72452 108678 126791 144904 217356 253582 380373 434712 507164 760746 1014328 1521492 3042984