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3380143320 = 23325171941709
BaseRepresentation
bin1100100101111000…
…1110010011011000
322201120100001221100
43021132032103120
523410304041240
61315224111400
7146522513151
oct31136162330
98646301840
103380143320
111485003784
127a4005560
1341b392a08
14240cbc928
1514bb33e30
hexc978e4d8

3380143320 has 384 divisors, whose sum is σ = 12560184000. Its totient is φ = 782991360.

The previous prime is 3380143313. The next prime is 3380143357. The reversal of 3380143320 is 233410833.

3380143320 is a `hidden beast` number, since 338 + 0 + 1 + 4 + 3 + 320 = 666.

3380143320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 581392-1.

It is a super-2 number, since 2×33801433202 = 22850737727481244800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4767126 + ... + 4767834.

Almost surely, 23380143320 is an apocalyptic number.

3380143320 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 3380143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280092000).

3380143320 is an abundant number, since it is smaller than the sum of its proper divisors (9180040680).

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

3380143320 is a wasteful number, since it uses less digits than its factorization.

3380143320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3380143320 is about 58138.9999913999. Note that the first 5 decimals coincide. The cubic root of 3380143320 is about 1500.7615865918.

The spelling of 3380143320 in words is "three billion, three hundred eighty million, one hundred forty-three thousand, three hundred twenty".