Search a number
-
+
3063936 = 27379101
BaseRepresentation
bin1011101100000010000000
312202122221010
423230002000
51241021221
6145400520
735020521
oct13540200
95678833
103063936
111802a87
121039140
138337a5
1459a848
15407c76
hex2ec080

3063936 has 64 divisors (see below), whose sum is σ = 8323200. Its totient is φ = 998400.

The previous prime is 3063923. The next prime is 3063967. The reversal of 3063936 is 6393603.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30286 + ... + 30386.

It is an arithmetic number, because the mean of its divisors is an integer number (130050).

Almost surely, 23063936 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 3063936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161600).

3063936 is an abundant number, since it is smaller than the sum of its proper divisors (5259264).

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

3063936 is a wasteful number, since it uses less digits than its factorization.

3063936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The square root of 3063936 is about 1750.4102376300. The cubic root of 3063936 is about 145.2423375238.

The spelling of 3063936 in words is "three million, sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 101 128 158 192 202 237 303 316 384 404 474 606 632 808 948 1212 1264 1616 1896 2424 2528 3232 3792 4848 5056 6464 7584 7979 9696 10112 12928 15168 15958 19392 23937 30336 31916 38784 47874 63832 95748 127664 191496 255328 382992 510656 765984 1021312 1531968 3063936