Search a number
-
+
349340517 = 3219101113179
BaseRepresentation
bin10100110100101…
…000001101100101
3220100100100002200
4110310220031211
51203412344032
654355325113
711441226321
oct2464501545
9810310080
10349340517
1116a214779
1298bb0799
13574b4c86
1434578981
1520a0847c
hex14d28365

349340517 has 48 divisors (see below), whose sum is σ = 544190400. Its totient is φ = 215308800.

The previous prime is 349340507. The next prime is 349340549. The reversal of 349340517 is 715043943.

It is not a de Polignac number, because 349340517 - 210 = 349339493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349340507) 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 47 ways as a sum of consecutive naturals, for example, 1951534 + ... + 1951712.

It is an arithmetic number, because the mean of its divisors is an integer number (11337300).

Almost surely, 2349340517 is an apocalyptic number.

It is an amenable number.

349340517 is a deficient number, since it is larger than the sum of its proper divisors (194849883).

349340517 is a wasteful number, since it uses less digits than its factorization.

349340517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 349340517 is about 18690.6531988585. The cubic root of 349340517 is about 704.2869688434.

The spelling of 349340517 in words is "three hundred forty-nine million, three hundred forty thousand, five hundred seventeen".

Divisors: 1 3 9 19 57 101 113 171 179 303 339 537 909 1017 1611 1919 2147 3401 5757 6441 10203 11413 17271 18079 19323 20227 30609 34239 54237 60681 102717 162711 182043 216847 343501 384313 650541 1030503 1152939 1951623 2042927 3091509 3458817 6128781 18386343 38815613 116446839 349340517