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3389533056 = 2732721331149
BaseRepresentation
bin1100101000001000…
…0010101110000000
322202020000010020100
43022002002232000
523420210024211
61320201242400
7146665361400
oct31202025600
98666003210
103389533056
11148a337398
127a7193400
134202cc880
14242244800
1514c88b156
hexca082b80

3389533056 has 576 divisors, whose sum is σ = 12697776000. Its totient is φ = 859299840.

The previous prime is 3389533051. The next prime is 3389533057. The reversal of 3389533056 is 6503359833.

3389533056 is a `hidden beast` number, since 33 + 89 + 533 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×33895330562 = 22977868675433398272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389533051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22748470 + ... + 22748618.

It is an arithmetic number, because the mean of its divisors is an integer number (22044750).

Almost surely, 23389533056 is an apocalyptic number.

3389533056 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 3389533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348888000).

3389533056 is an abundant number, since it is smaller than the sum of its proper divisors (9308242944).

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

3389533056 is a wasteful number, since it uses less digits than its factorization.

3389533056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The square root of 3389533056 is about 58219.6964609057. The cubic root of 3389533056 is about 1502.1499623025.

The spelling of 3389533056 in words is "three billion, three hundred eighty-nine million, five hundred thirty-three thousand, fifty-six".