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3320427640 = 235416133191
BaseRepresentation
bin1100010111101001…
…1011010001111000
322120101222012102111
43011322123101320
523300012141030
61305252142104
7145166112025
oct30572332170
98511865374
103320427640
111454327482
12788007934
1340bbb52aa
14236db654c
1514678a62a
hexc5e9b478

3320427640 has 64 divisors (see below), whose sum is σ = 7778877120. Its totient is φ = 1274496000.

The previous prime is 3320427629. The next prime is 3320427647. The reversal of 3320427640 is 467240233.

It is a super-2 number, since 2×33204276402 = 22050479424951939200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320427647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83445 + ... + 116635.

It is an arithmetic number, because the mean of its divisors is an integer number (121544955).

Almost surely, 23320427640 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 3320427640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889438560).

3320427640 is an abundant number, since it is smaller than the sum of its proper divisors (4458449480).

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

3320427640 is a wasteful number, since it uses less digits than its factorization.

3320427640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33304 (or 33300 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 3320427640 is about 57623.1519443357. The cubic root of 3320427640 is about 1491.8712342783.

Adding to 3320427640 its reverse (467240233), we get a palindrome (3787667873).

The spelling of 3320427640 in words is "three billion, three hundred twenty million, four hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 61 82 122 164 205 244 305 328 410 488 610 820 1220 1640 2440 2501 5002 10004 12505 20008 25010 33191 50020 66382 100040 132764 165955 265528 331910 663820 1327640 1360831 2024651 2721662 4049302 5443324 6804155 8098604 10123255 10886648 13608310 16197208 20246510 27216620 40493020 54433240 80986040 83010691 166021382 332042764 415053455 664085528 830106910 1660213820 3320427640