Search a number
-
+
354209713 = 114131861
BaseRepresentation
bin10101000111001…
…100111110110001
3220200111201101021
4111013030332301
51211134202323
655051535441
711530506244
oct2507147661
9820451337
10354209713
11171a40000
129a75a581
13584cb360
143508525b
152116b05d
hex151ccfb1

354209713 has 20 divisors (see below), whose sum is σ = 419825140. Its totient is φ = 297079200.

The previous prime is 354209707. The next prime is 354209717. The reversal of 354209713 is 317902453.

It can be written as a sum of positive squares in 2 ways, for example, as 15944049 + 338265664 = 3993^2 + 18392^2 .

It is not a de Polignac number, because 354209713 - 29 = 354209201 is a prime.

It is a super-3 number, since 3×3542097133 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (354209717) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189403 + ... + 191263.

It is an arithmetic number, because the mean of its divisors is an integer number (20991257).

Almost surely, 2354209713 is an apocalyptic number.

It is an amenable number.

354209713 is a deficient number, since it is larger than the sum of its proper divisors (65615427).

354209713 is an equidigital number, since it uses as much as digits as its factorization.

354209713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 354209713 is about 18820.4599571849. The cubic root of 354209713 is about 707.5440589875.

The spelling of 354209713 in words is "three hundred fifty-four million, two hundred nine thousand, seven hundred thirteen".

Divisors: 1 11 13 121 143 1331 1573 1861 14641 17303 20471 24193 190333 225181 266123 2476991 2927353 27246901 32200883 354209713