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3299014656 = 211357947
BaseRepresentation
bin1100010010100010…
…1111100000000000
322111220200022100000
43010220233200000
523224021432111
61303205200000
7144516106350
oct30450574000
98456608300
103299014656
1114432315a3
12780a00000
134076289a2
14234200b60
1514495ac56
hexc4a2f800

3299014656 has 288 divisors, whose sum is σ = 11304558720. Its totient is φ = 941580288.

The previous prime is 3299014651. The next prime is 3299014661. The reversal of 3299014656 is 6564109923.

It is an interprime number because it is at equal distance from previous prime (3299014651) and next prime (3299014661).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3299014651) 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 23 ways as a sum of consecutive naturals, for example, 3483175 + ... + 3484121.

It is an arithmetic number, because the mean of its divisors is an integer number (39251940).

Almost surely, 23299014656 is an apocalyptic number.

3299014656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3299014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652279360).

3299014656 is an abundant number, since it is smaller than the sum of its proper divisors (8005544064).

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

3299014656 is an frugal number, since it uses more digits than its factorization.

3299014656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3299014656 is about 57437.0495063944. The cubic root of 3299014656 is about 1488.6573578375.

The spelling of 3299014656 in words is "three billion, two hundred ninety-nine million, fourteen thousand, six hundred fifty-six".