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349224975 = 325211141101
BaseRepresentation
bin10100110100001…
…100000000001111
3220100010110121100
4110310030000033
51203400144400
654353034143
711440235421
oct2464140017
9810113540
10349224975
1116a145990
1298b55953
13574744c8
1434548811
15209d4100
hex14d0c00f

349224975 has 36 divisors (see below), whose sum is σ = 682369272. Its totient is φ = 169320000.

The previous prime is 349224947. The next prime is 349224977. The reversal of 349224975 is 579422943.

It is not a de Polignac number, because 349224975 - 210 = 349223951 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 349224975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349224977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68076 + ... + 73025.

It is an arithmetic number, because the mean of its divisors is an integer number (18954702).

Almost surely, 2349224975 is an apocalyptic number.

349224975 is a deficient number, since it is larger than the sum of its proper divisors (333144297).

349224975 is a wasteful number, since it uses less digits than its factorization.

349224975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141128 (or 141120 counting only the distinct ones).

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

The square root of 349224975 is about 18687.5620400308. The cubic root of 349224975 is about 704.2093142399.

The spelling of 349224975 in words is "three hundred forty-nine million, two hundred twenty-four thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 141101 423303 705505 1269909 1552111 2116515 3527525 4656333 6349545 7760555 10582575 13968999 23281665 31747725 38802775 69844995 116408325 349224975