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3297421680 = 2435722373167
BaseRepresentation
bin1100010010001010…
…1010100101110000
322111210200101011220
43010202222211300
523223114443210
61303111105040
7144466423200
oct30442524560
98453611156
103297421680
111442343793
12780372180
134071bb8b7
14233d08400
15144743c70
hexc48aa970

3297421680 has 480 divisors, whose sum is σ = 12653190144. Its totient is φ = 706793472.

The previous prime is 3297421667. The next prime is 3297421681. The reversal of 3297421680 is 861247923.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3297421681) 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 95 ways as a sum of consecutive naturals, for example, 19744957 + ... + 19745123.

Almost surely, 23297421680 is an apocalyptic number.

3297421680 is a gapful number since it is divisible by the number (30) 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 3297421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326595072).

3297421680 is an abundant number, since it is smaller than the sum of its proper divisors (9355768464).

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

3297421680 is a wasteful number, since it uses less digits than its factorization.

3297421680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3297421680 is about 57423.1806851554. The cubic root of 3297421680 is about 1488.4177128242.

The spelling of 3297421680 in words is "three billion, two hundred ninety-seven million, four hundred twenty-one thousand, six hundred eighty".