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3482308368 = 2433711231307
BaseRepresentation
bin1100111110001111…
…1100111100010000
322222200120121001000
43033203330330100
524112432331433
61333313542000
7152203063350
oct31743747420
98880517030
103482308368
111527743900
12812274900
134365b3ac6
142506b4b60
15155ab5113
hexcf8fcf10

3482308368 has 480 divisors, whose sum is σ = 13003612160. Its totient is φ = 872467200.

The previous prime is 3482308367. The next prime is 3482308393. The reversal of 3482308368 is 8638032843.

3482308368 is a `hidden beast` number, since 3 + 482 + 30 + 83 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (3482308367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11342871 + ... + 11343177.

Almost surely, 23482308368 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 3482308368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501806080).

3482308368 is an abundant number, since it is smaller than the sum of its proper divisors (9521303792).

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

3482308368 is a wasteful number, since it uses less digits than its factorization.

3482308368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3482308368 is about 59011.0868227319. The cubic root of 3482308368 is about 1515.7319627394.

The spelling of 3482308368 in words is "three billion, four hundred eighty-two million, three hundred eight thousand, three hundred sixty-eight".