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3001040 = 245723233
BaseRepresentation
bin1011011100101011010000
312122110122122
423130223100
51232013130
6144153412
734336250
oct13345320
95573578
103001040
11176a7a9
121008868
13810c83
14581960
153e42e5
hex2dcad0

3001040 has 80 divisors (see below), whose sum is σ = 8356608. Its totient is φ = 979968.

The previous prime is 3001021. The next prime is 3001049. The reversal of 3001040 is 401003.

3001040 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12764 + ... + 12996.

Almost surely, 23001040 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 3001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178304).

3001040 is an abundant number, since it is smaller than the sum of its proper divisors (5355568).

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

3001040 is a wasteful number, since it uses less digits than its factorization.

3001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 3001040 is about 1732.3510036941. The cubic root of 3001040 is about 144.2416211003.

Adding to 3001040 its reverse (401003), we get a palindrome (3402043).

The spelling of 3001040 in words is "three million, one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 233 280 322 368 460 466 560 644 805 920 932 1165 1288 1610 1631 1840 1864 2330 2576 3220 3262 3728 4660 5359 6440 6524 8155 9320 10718 12880 13048 16310 18640 21436 26096 26795 32620 37513 42872 53590 65240 75026 85744 107180 130480 150052 187565 214360 300104 375130 428720 600208 750260 1500520 3001040