Search a number
-
+
3123904 = 26719367
BaseRepresentation
bin1011111010101011000000
312212201012011
423322223000
51244431104
6150542304
735360410
oct13725300
95781164
103123904
111844043
121067994
13854b84
145b4640
1541a904
hex2faac0

3123904 has 56 divisors (see below), whose sum is σ = 7477760. Its totient is φ = 1264896.

The previous prime is 3123893. The next prime is 3123931. The reversal of 3123904 is 4093213.

3123904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8329 + ... + 8695.

Almost surely, 23123904 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 3123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738880).

3123904 is an abundant number, since it is smaller than the sum of its proper divisors (4353856).

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

3123904 is a wasteful number, since it uses less digits than its factorization.

3123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3123904 is about 1767.4569301683. The cubic root of 3123904 is about 146.1837930537.

The spelling of 3123904 in words is "three million, one hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 367 448 532 608 734 1064 1216 1468 2128 2569 2936 4256 5138 5872 6973 8512 10276 11744 13946 20552 23488 27892 41104 48811 55784 82208 97622 111568 164416 195244 223136 390488 446272 780976 1561952 3123904