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3380114080 = 25573173623
BaseRepresentation
bin1100100101111000…
…0111001010100000
322201120021120211101
43021132013022200
523410302122310
61315223324144
7146522332000
oct31136071240
98646246741
103380114080
111484a93812
127a3bb0654
1341b382605
14240cb2000
1514bb2a43a
hexc97872a0

3380114080 has 192 divisors, whose sum is σ = 9863078400. Its totient is φ = 1090424832.

The previous prime is 3380114077. The next prime is 3380114081. The reversal of 3380114080 is 804110833.

It is a super-2 number, since 2×33801140802 = 22850342387628492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3380114081) 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, 931149 + ... + 934771.

It is an arithmetic number, because the mean of its divisors is an integer number (51370200).

Almost surely, 23380114080 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 3380114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931539200).

3380114080 is an abundant number, since it is smaller than the sum of its proper divisors (6482964320).

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

3380114080 is a wasteful number, since it uses less digits than its factorization.

3380114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 3380114080 is about 58138.7485245426. The cubic root of 3380114080 is about 1500.7572591229.

The spelling of 3380114080 in words is "three billion, three hundred eighty million, one hundred fourteen thousand, eighty".