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3001310040 = 2335199125683
BaseRepresentation
bin1011001011100100…
…0101101101011000
321202011111100101010
42302321011231120
522121313410130
61213452253520
7134242500021
oct26271055530
97664440333
103001310040
111300185723
126b91712a0
1338aa52901
14206867c48
151287520b0
hexb2e45b58

3001310040 has 64 divisors (see below), whose sum is σ = 9049248000. Its totient is φ = 796321152.

The previous prime is 3001310009. The next prime is 3001310063. The reversal of 3001310040 is 400131003.

3001310040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3001309998 and 3001310025.

It is a congruent number.

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, 38962 + ... + 86721.

It is an arithmetic number, because the mean of its divisors is an integer number (141394500).

Almost surely, 23001310040 is an apocalyptic number.

3001310040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001310040 is an abundant number, since it is smaller than the sum of its proper divisors (6047937960).

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

3001310040 is a wasteful number, since it uses less digits than its factorization.

3001310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125896 (or 125892 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3001310040 is about 54784.2134195609. The cubic root of 3001310040 is about 1442.4594736043.

Adding to 3001310040 its reverse (400131003), we get a palindrome (3401441043).

The spelling of 3001310040 in words is "three billion, one million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 7960 11940 23880 125683 251366 377049 502732 628415 754098 1005464 1256830 1508196 1885245 2513660 3016392 3770490 5027320 7540980 15081960 25010917 50021834 75032751 100043668 125054585 150065502 200087336 250109170 300131004 375163755 500218340 600262008 750327510 1000436680 1500655020 3001310040