Search a number
-
+
348531561 = 32741272
BaseRepresentation
bin10100110001100…
…010101101101001
3220021211020102100
4110301202231221
51203211002221
654330124013
711431320000
oct2461425551
9807736370
10348531561
11169811a14
1298880609
13572909c1
1434407c37
15208e8926
hex14c62b69

348531561 has 45 divisors (see below), whose sum is σ = 591966141. Its totient is φ = 197592696.

The previous prime is 348531553. The next prime is 348531629. The reversal of 348531561 is 165135843.

The square root of 348531561 is 18669.

It is a perfect power (a square), and thus also a powerful number.

348531561 is a `hidden beast` number, since 3 + 48 + 53 + 1 + 561 = 666.

It is not a de Polignac number, because 348531561 - 23 = 348531553 is a prime.

Its product of digits (43200) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (348531661) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2744280 + ... + 2744406.

Almost surely, 2348531561 is an apocalyptic number.

348531561 is the 18669-th square number.

348531561 is the 9335-th centered octagonal number.

It is an amenable number.

348531561 is a deficient number, since it is larger than the sum of its proper divisors (243434580).

348531561 is an frugal number, since it uses more digits than its factorization.

348531561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 137 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The cubic root of 348531561 is about 703.7429175221.

Multiplying 348531561 by its sum of digits (36), we get a square (12547136196 = 1120142).

The spelling of 348531561 in words is "three hundred forty-eight million, five hundred thirty-one thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 127 147 343 381 441 889 1029 1143 2401 2667 3087 6223 7203 8001 16129 18669 21609 43561 48387 56007 112903 130683 145161 304927 338709 392049 790321 914781 1016127 2370963 2744343 5532247 7112889 16596741 38725729 49790223 116177187 348531561