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3001124340 = 2232563126423
BaseRepresentation
bin1011001011100001…
…1000010111110100
321202011010220122100
42302320120113310
522121241434330
61213444302100
7134241064434
oct26270302764
97664126570
103001124340
111300069155
126b90a1930
1338a9b9226
1420681a2c4
15128717060
hexb2e185f4

3001124340 has 72 divisors (see below), whose sum is σ = 9118182528. Its totient is φ = 799001280.

The previous prime is 3001124333. The next prime is 3001124369. The reversal of 3001124340 is 434211003.

3001124340 is a `hidden beast` number, since 300 + 1 + 1 + 24 + 340 = 666.

3001124340 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100369 + ... + 126791.

It is an arithmetic number, because the mean of its divisors is an integer number (126641424).

Almost surely, 23001124340 is an apocalyptic number.

3001124340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001124340 is an abundant number, since it is smaller than the sum of its proper divisors (6117058188).

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

3001124340 is a wasteful number, since it uses less digits than its factorization.

3001124340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27069 (or 27064 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3001124340 is about 54782.5185620377. The cubic root of 3001124340 is about 1442.4297232347.

Adding to 3001124340 its reverse (434211003), we get a palindrome (3435335343).

The spelling of 3001124340 in words is "three billion, one million, one hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 631 1262 1893 2524 3155 3786 5679 6310 7572 9465 11358 12620 18930 22716 26423 28395 37860 52846 56790 79269 105692 113580 132115 158538 237807 264230 317076 396345 475614 528460 792690 951228 1189035 1585380 2378070 4756140 16672913 33345826 50018739 66691652 83364565 100037478 150056217 166729130 200074956 250093695 300112434 333458260 500187390 600224868 750281085 1000374780 1500562170 3001124340