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3353287680 = 210335127191
BaseRepresentation
bin1100011111011111…
…0001110000000000
322122200210122221000
43013313301300000
523331420201210
61312424332000
7146045321631
oct30767616000
98580718830
103353287680
111470930736
12797014000
1341594bcc2
1423b4cb888
151495cbac0
hexc7df1c00

3353287680 has 352 divisors, whose sum is σ = 12073697280. Its totient is φ = 882524160.

The previous prime is 3353287649. The next prime is 3353287681. The reversal of 3353287680 is 867823533.

3353287680 is a `hidden beast` number, since 33 + 532 + 8 + 7 + 6 + 80 = 666.

It is a super-2 number, since 2×33532876802 = 22489076529679564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353287681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17556385 + ... + 17556575.

Almost surely, 23353287680 is an apocalyptic number.

3353287680 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 3353287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6036848640).

3353287680 is an abundant number, since it is smaller than the sum of its proper divisors (8720409600).

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

3353287680 is a wasteful number, since it uses less digits than its factorization.

3353287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3353287680 is about 57907.5787786020. The cubic root of 3353287680 is about 1496.7764373920.

The spelling of 3353287680 in words is "three billion, three hundred fifty-three million, two hundred eighty-seven thousand, six hundred eighty".