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3384857993 = 11233783009
BaseRepresentation
bin1100100111000000…
…1101010110001001
322201220012121020212
43021300031112021
523413010423433
61315513130505
7146610550436
oct31160152611
98656177225
103384857993
111487733a00
127a56b9a35
1341c35396a
14241788b8d
1514c265d48
hexc9c0d589

3384857993 has 12 divisors (see below), whose sum is σ = 3731631540. Its totient is φ = 3067975680.

The previous prime is 3384857909. The next prime is 3384858017. The reversal of 3384857993 is 3997584833.

It can be written as a sum of positive squares in 2 ways, for example, as 1479710089 + 1905147904 = 38467^2 + 43648^2 .

It is a de Polignac number, because none of the positive numbers 2k-3384857993 is a prime.

It is a super-2 number, since 2×33848579932 = 22914527265551976098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3384847993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728 + ... + 82281.

It is an arithmetic number, because the mean of its divisors is an integer number (310969295).

Almost surely, 23384857993 is an apocalyptic number.

It is an amenable number.

3384857993 is a deficient number, since it is larger than the sum of its proper divisors (346773547).

3384857993 is a wasteful number, since it uses less digits than its factorization.

3384857993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83368 (or 83357 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 59.

The square root of 3384857993 is about 58179.5324233531. The cubic root of 3384857993 is about 1501.4590237803.

The spelling of 3384857993 in words is "three billion, three hundred eighty-four million, eight hundred fifty-seven thousand, nine hundred ninety-three".

Divisors: 1 11 121 337 3707 40777 83009 913099 10044089 27974033 307714363 3384857993