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349963065 = 33510212539
BaseRepresentation
bin10100110111000…
…000001100111001
3220101111222002000
4110313000030321
51204042304230
654420531213
711446431324
oct2467001471
9811458060
10349963065
1116a5aa481
1299250b09
135767244a
143469b7bb
1520accb60
hex14dc0339

349963065 has 32 divisors (see below), whose sum is σ = 623011200. Its totient is φ = 186390720.

The previous prime is 349963063. The next prime is 349963069. The reversal of 349963065 is 560369943.

It is a happy number.

349963065 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 630 + 6 + 5 = 666.

It is not a de Polignac number, because 349963065 - 21 = 349963063 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 349963065.

It is not an unprimeable number, because it can be changed into a prime (349963063) 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 31 ways as a sum of consecutive naturals, for example, 136566 + ... + 139104.

It is an arithmetic number, because the mean of its divisors is an integer number (19469100).

Almost surely, 2349963065 is an apocalyptic number.

It is an amenable number.

349963065 is a deficient number, since it is larger than the sum of its proper divisors (273048135).

349963065 is a wasteful number, since it uses less digits than its factorization.

349963065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 349963065 is about 18707.2997784287. The cubic root of 349963065 is about 704.7050826222.

It can be divided in two parts, 3499 and 63065, that added together give a square (66564 = 2582).

The spelling of 349963065 in words is "three hundred forty-nine million, nine hundred sixty-three thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 135 1021 2539 3063 5105 7617 9189 12695 15315 22851 27567 38085 45945 68553 114255 137835 342765 2592319 7776957 12961595 23330871 38884785 69992613 116654355 349963065