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3023904 = 253132423
BaseRepresentation
bin1011100010010000100000
312200122000110
423202100200
51233231104
6144451320
734463022
oct13422040
95618013
103023904
1117859a4
121019b40
1381b4c0
1458a012
153eae89
hex2e2420

3023904 has 48 divisors (see below), whose sum is σ = 8551872. Its totient is φ = 930048.

The previous prime is 3023903. The next prime is 3023921. The reversal of 3023904 is 4093203.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3023903) 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 7 ways as a sum of consecutive naturals, for example, 37 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (178164).

Almost surely, 23023904 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 3023904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275936).

3023904 is an abundant number, since it is smaller than the sum of its proper divisors (5527968).

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

3023904 is a wasteful number, since it uses less digits than its factorization.

3023904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3023904 is about 1738.9376067013. The cubic root of 3023904 is about 144.6070055853.

The spelling of 3023904 in words is "three million, twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2423 4846 7269 9692 14538 19384 29076 31499 38768 58152 62998 77536 94497 116304 125996 188994 232608 251992 377988 503984 755976 1007968 1511952 3023904