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349545375 = 3453192379
BaseRepresentation
bin10100110101011…
…010001110011111
3220100201202010000
4110311122032133
51203440423000
654403545343
711443041504
oct2465321637
9810652100
10349545375
1116a344683
129908b253
13575572aa
14345cd4ab
1520a49000
hex14d5a39f

349545375 has 160 divisors (see below), whose sum is σ = 724838400. Its totient is φ = 166795200.

The previous prime is 349545373. The next prime is 349545397. The reversal of 349545375 is 573545943.

349545375 is a `hidden beast` number, since 34 + 9 + 545 + 3 + 75 = 666.

It is not a de Polignac number, because 349545375 - 21 = 349545373 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 349545375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349545373) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 4424586 + ... + 4424664.

It is an arithmetic number, because the mean of its divisors is an integer number (4530240).

Almost surely, 2349545375 is an apocalyptic number.

349545375 is an abundant number, since it is smaller than the sum of its proper divisors (375293025).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349545375 is a wasteful number, since it uses less digits than its factorization.

349545375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The square root of 349545375 is about 18696.1326214808. The cubic root of 349545375 is about 704.4246097407.

The spelling of 349545375 in words is "three hundred forty-nine million, five hundred forty-five thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 19 23 25 27 45 57 69 75 79 81 95 115 125 135 171 207 225 237 285 345 375 395 405 437 475 513 575 621 675 711 855 1035 1125 1185 1311 1425 1501 1539 1725 1817 1863 1975 2025 2133 2185 2375 2565 2875 3105 3375 3555 3933 4275 4503 5175 5451 5925 6399 6555 7125 7505 7695 8625 9085 9315 9875 10125 10665 10925 11799 12825 13509 15525 16353 17775 19665 21375 22515 25875 27255 29625 31995 32775 34523 35397 37525 38475 40527 45425 46575 49059 53325 54625 58995 64125 67545 77625 81765 88875 98325 103569 112575 121581 136275 147177 159975 163875 172615 176985 187625 192375 202635 227125 232875 245295 266625 294975 310707 337725 408825 491625 517845 562875 607905 681375 735885 799875 863075 884925 932121 1013175 1226475 1474875 1553535 1688625 2044125 2589225 2796363 3039525 3679425 4315375 4424625 4660605 5065875 6132375 7767675 12946125 13981815 15197625 18397125 23303025 38838375 69909075 116515125 349545375