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349379325 = 3552172199
BaseRepresentation
bin10100110100110…
…001101011111101
3220100102022100000
4110310301223331
51203420114300
654400224513
711441450421
oct2464615375
9810368300
10349379325
1116a240949
129900b139
13574c9839
1434588b81
1520a14c00
hex14d31afd

349379325 has 108 divisors (see below), whose sum is σ = 692837600. Its totient is φ = 174493440.

The previous prime is 349379299. The next prime is 349379347. The reversal of 349379325 is 523973943.

It is not a de Polignac number, because 349379325 - 210 = 349378301 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1755576 + ... + 1755774.

Almost surely, 2349379325 is an apocalyptic number.

It is an amenable number.

349379325 is a deficient number, since it is larger than the sum of its proper divisors (343458275).

349379325 is a wasteful number, since it uses less digits than its factorization.

349379325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 224 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 349379325 is about 18691.6913359920. The cubic root of 349379325 is about 704.3130474642.

The spelling of 349379325 in words is "three hundred forty-nine million, three hundred seventy-nine thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 199 225 243 255 289 405 425 459 597 675 765 867 995 1215 1275 1377 1445 1791 2025 2295 2601 2985 3383 3825 4131 4335 4975 5373 6075 6885 7225 7803 8955 10149 11475 13005 14925 16119 16915 20655 21675 23409 26865 30447 34425 39015 44775 48357 50745 57511 65025 70227 80595 84575 91341 103275 117045 134325 152235 172533 195075 241785 253725 274023 287555 351135 402975 456705 517599 585225 761175 822069 862665 1208925 1370115 1437775 1552797 1755675 2283525 2587995 4110345 4313325 4658391 6850575 7763985 12939975 13975173 20551725 23291955 38819925 69875865 116459775 349379325