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3393993933 = 331111427589
BaseRepresentation
bin1100101001001100…
…0011110011001101
322202112101202102000
43022103003303031
523422330301213
61320441022513
7150051321021
oct31223036315
98675352360
103393993933
111491903970
127a8784a39
13421202145
14242a86381
1514ce6cc73
hexca4c3ccd

3393993933 has 16 divisors (see below), whose sum is σ = 5485243200. Its totient is φ = 2056965840.

The previous prime is 3393993929. The next prime is 3393993937.

3393993933 is nontrivially palindromic in base 10.

3393993933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3393993929) and next prime (3393993937).

It is not a de Polignac number, because 3393993933 - 22 = 3393993929 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3393993933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3393993937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5713498 + ... + 5714091.

It is an arithmetic number, because the mean of its divisors is an integer number (342827700).

Almost surely, 23393993933 is an apocalyptic number.

3393993933 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3393993933 is a deficient number, since it is larger than the sum of its proper divisors (2091249267).

3393993933 is a wasteful number, since it uses less digits than its factorization.

3393993933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11427609 (or 11427603 counting only the distinct ones).

The product of its digits is 4782969, while the sum is 54.

The square root of 3393993933 is about 58257.9945844345. The cubic root of 3393993933 is about 1502.8086536939.

The spelling of 3393993933 in words is "three billion, three hundred ninety-three million, nine hundred ninety-three thousand, nine hundred thirty-three".

Divisors: 1 3 9 11 27 33 99 297 11427589 34282767 102848301 125703479 308544903 377110437 1131331311 3393993933