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3421405791 = 331925725951
BaseRepresentation
bin1100101111101110…
…1000001001011111
322211102222102102000
43023323220021133
524001334441131
61323300333343
7150533316666
oct31373501137
98742872360
103421405791
1114a63268a1
127b59a4253
13426aac08b
1424657dddd
15150584ce6
hexcbee825f

3421405791 has 32 divisors (see below), whose sum is σ = 5356492800. Its totient is φ = 2152396800.

The previous prime is 3421405789. The next prime is 3421405807. The reversal of 3421405791 is 1975041243.

3421405791 is a `hidden beast` number, since 3 + 42 + 1 + 40 + 579 + 1 = 666.

It is not a de Polignac number, because 3421405791 - 21 = 3421405789 is a prime.

It is a super-3 number, since 3×34214057913 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421405711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118866 + ... + 144816.

It is an arithmetic number, because the mean of its divisors is an integer number (167390400).

Almost surely, 23421405791 is an apocalyptic number.

3421405791 is a deficient number, since it is larger than the sum of its proper divisors (1935087009).

3421405791 is a wasteful number, since it uses less digits than its factorization.

3421405791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26236 (or 26230 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3421405791 is about 58492.7840934247. The cubic root of 3421405791 is about 1506.8436607197.

The spelling of 3421405791 in words is "three billion, four hundred twenty-one million, four hundred five thousand, seven hundred ninety-one".

Divisors: 1 3 9 19 27 57 171 257 513 771 2313 4883 6939 14649 25951 43947 77853 131841 233559 493069 700677 1479207 4437621 6669407 13312863 20008221 60024663 126718733 180073989 380156199 1140468597 3421405791