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3040133320 = 235771915101
BaseRepresentation
bin1011010100110100…
…1100000011001000
321211212112202220101
42311031030003020
522211233231240
61221400335144
7135223464310
oct26515140310
97755482811
103040133320
111320092184
1270a1744b4
13395ac6973
1420ba92440
1512bd7039a
hexb534c0c8

3040133320 has 64 divisors (see below), whose sum is σ = 7828876800. Its totient is φ = 1040812800.

The previous prime is 3040133287. The next prime is 3040133329. The reversal of 3040133320 is 233310403.

It is not an unprimeable number, because it can be changed into a prime (3040133329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193770 + ... + 208870.

It is an arithmetic number, because the mean of its divisors is an integer number (122326200).

Almost surely, 23040133320 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 3040133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914438400).

3040133320 is an abundant number, since it is smaller than the sum of its proper divisors (4788743480).

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

3040133320 is a wasteful number, since it uses less digits than its factorization.

3040133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15838 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 3040133320 is about 55137.4040012767. The cubic root of 3040133320 is about 1448.6524650809.

Adding to 3040133320 its reverse (233310403), we get a palindrome (3273443723).

The spelling of 3040133320 in words is "three billion, forty million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 719 1438 2876 3595 5033 5752 7190 10066 14380 15101 20132 25165 28760 30202 40264 50330 60404 75505 100660 105707 120808 151010 201320 211414 302020 422828 528535 604040 845656 1057070 2114140 4228280 10857619 21715238 43430476 54288095 76003333 86860952 108576190 152006666 217152380 304013332 380016665 434304760 608026664 760033330 1520066660 3040133320