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3439450047 = 311217619137
BaseRepresentation
bin1100110100000001…
…1101011110111111
322212200221011110210
43031000131132333
524020444400142
61325143203503
7151142562105
oct31500353677
98780834423
103439450047
111505530800
127bba46593
1342a759257
14248b19c75
15151e4b49c
hexcd01d7bf

3439450047 has 48 divisors (see below), whose sum is σ = 5425340256. Its totient is φ = 1929523200.

The previous prime is 3439450039. The next prime is 3439450099. The reversal of 3439450047 is 7400549343.

It is not a de Polignac number, because 3439450047 - 23 = 3439450039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3439449987 and 3439450014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3439450037) 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 47 ways as a sum of consecutive naturals, for example, 371863 + ... + 380999.

It is an arithmetic number, because the mean of its divisors is an integer number (113027922).

Almost surely, 23439450047 is an apocalyptic number.

3439450047 is a deficient number, since it is larger than the sum of its proper divisors (1985890209).

3439450047 is a wasteful number, since it uses less digits than its factorization.

3439450047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 3439450047 is about 58646.8246966534. The cubic root of 3439450047 is about 1509.4880136376.

The spelling of 3439450047 in words is "three billion, four hundred thirty-nine million, four hundred fifty thousand, forty-seven".

Divisors: 1 3 11 17 33 51 61 121 183 187 363 561 671 1037 2013 2057 3111 6171 7381 9137 11407 22143 27411 34221 100507 125477 155329 301521 376431 465987 557357 1105577 1672071 1708619 3316731 5125857 6130927 9475069 18392781 18794809 28425207 56384427 67440197 104225759 202320591 312677277 1146483349 3439450047