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349163073 = 32723072579
BaseRepresentation
bin10100110011111…
…100111001000001
3220100000022200200
4110303330321001
51203341204243
654351435413
711436560100
oct2463747101
9810008620
10349163073
1116a103426
1298b25b69
135745228c
1434530037
15209c0ad3
hex14cfce41

349163073 has 36 divisors (see below), whose sum is σ = 588828240. Its totient is φ = 198794736.

The previous prime is 349163039. The next prime is 349163083. The reversal of 349163073 is 370361943.

349163073 is a `hidden beast` number, since 349 + 1 + 6 + 307 + 3 = 666.

It is not a de Polignac number, because 349163073 - 28 = 349162817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349163083) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134098 + ... + 136676.

It is an arithmetic number, because the mean of its divisors is an integer number (16356340).

Almost surely, 2349163073 is an apocalyptic number.

It is an amenable number.

349163073 is a deficient number, since it is larger than the sum of its proper divisors (239665167).

349163073 is a wasteful number, since it uses less digits than its factorization.

349163073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 349163073 is about 18685.9057313260. The cubic root of 349163073 is about 704.1677034885.

It can be divided in two parts, 3491 and 63073, that added together give a square (66564 = 2582).

The spelling of 349163073 in words is "three hundred forty-nine million, one hundred sixty-three thousand, seventy-three".

Divisors: 1 3 7 9 21 49 63 147 307 441 921 2149 2579 2763 6447 7737 15043 18053 19341 23211 45129 54159 126371 135387 162477 379113 791753 1137339 2375259 5542271 7125777 16626813 38795897 49880439 116387691 349163073