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349417665 = 33529149599
BaseRepresentation
bin10100110100111…
…011000011000001
3220100111020221000
4110310323003001
51203422331130
654401122213
711442000252
oct2464730301
9810436830
10349417665
1116a267733
1299029369
135751111c
1434598b29
1520a21260
hex14d3b0c1

349417665 has 64 divisors (see below), whose sum is σ = 648000000. Its totient is φ = 178424064.

The previous prime is 349417631. The next prime is 349417669. The reversal of 349417665 is 566714943.

It is not a de Polignac number, because 349417665 - 29 = 349417153 is a prime.

It is a super-2 number, since 2×3494176652 = 244185409228104450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 349417665.

It is not an unprimeable number, because it can be changed into a prime (349417669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 583036 + ... + 583634.

It is an arithmetic number, because the mean of its divisors is an integer number (10125000).

Almost surely, 2349417665 is an apocalyptic number.

It is an amenable number.

349417665 is a deficient number, since it is larger than the sum of its proper divisors (298582335).

349417665 is a wasteful number, since it uses less digits than its factorization.

349417665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 349417665 is about 18692.7168972303. The cubic root of 349417665 is about 704.3388096970.

The spelling of 349417665 in words is "three hundred forty-nine million, four hundred seventeen thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 149 261 435 447 599 745 783 1305 1341 1797 2235 2995 3915 4023 4321 5391 6705 8985 12963 16173 17371 20115 21605 26955 38889 52113 64815 80865 86855 89251 116667 156339 194445 260565 267753 446255 469017 583335 781695 803259 1338765 2345085 2409777 2588279 4016295 7764837 12048885 12941395 23294511 38824185 69883533 116472555 349417665