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3380697216 = 273313471601
BaseRepresentation
bin1100100110000001…
…0101100010000000
322201121101012202000
43021200111202000
523410424302331
61315244024000
7146530311051
oct31140254200
98647335660
103380697216
111485351946
127a4232000
1341b527b70
14240dc4728
1514bbe30e6
hexc9815880

3380697216 has 256 divisors, whose sum is σ = 10980748800. Its totient is φ = 1017446400.

The previous prime is 3380697193. The next prime is 3380697223. The reversal of 3380697216 is 6127960833.

It is a super-2 number, since 2×33806972162 = 22858227332540301312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2110816 + ... + 2112416.

It is an arithmetic number, because the mean of its divisors is an integer number (42893550).

Almost surely, 23380697216 is an apocalyptic number.

3380697216 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 3380697216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490374400).

3380697216 is an abundant number, since it is smaller than the sum of its proper divisors (7600051584).

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

3380697216 is a wasteful number, since it uses less digits than its factorization.

3380697216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3380697216 is about 58143.7633456934. The cubic root of 3380697216 is about 1500.8435575182.

The spelling of 3380697216 in words is "three billion, three hundred eighty million, six hundred ninety-seven thousand, two hundred sixteen".