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349575 = 3525979
BaseRepresentation
bin1010101010110000111
3122202112020
41111112013
542141300
611254223
72654112
oct1252607
9582466
10349575
11219706
1214a373
13c3165
1491579
156d8a0
hex55587

349575 has 24 divisors (see below), whose sum is σ = 595200. Its totient is φ = 180960.

The previous prime is 349567. The next prime is 349579. The reversal of 349575 is 575943.

It is not a de Polignac number, because 349575 - 23 = 349567 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 35 + 47 + 57 + 95 + 76 + 57 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349575.

It is not an unprimeable number, because it can be changed into a prime (349579) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4386 + ... + 4464.

It is an arithmetic number, because the mean of its divisors is an integer number (24800).

2349575 is an apocalyptic number.

349575 is a deficient number, since it is larger than the sum of its proper divisors (245625).

349575 is a wasteful number, since it uses less digits than its factorization.

349575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 146 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 349575 is about 591.2486786455. The cubic root of 349575 is about 70.4444509865. Note that the first 4 decimals are identical.

It can be divided in two parts, 3495 and 75, that added together give a triangular number (3570 = T84).

The spelling of 349575 in words is "three hundred forty-nine thousand, five hundred seventy-five".

Divisors: 1 3 5 15 25 59 75 79 177 237 295 395 885 1185 1475 1975 4425 4661 5925 13983 23305 69915 116525 349575