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354230041 = 112292592
BaseRepresentation
bin10101000111010…
…001111100011001
3220200112202021011
4111013101330121
51211140330131
655052213521
711530622434
oct2507217431
9820482234
10354230041
11171a54300
129a76a2a1
1358507699
143508c81b
15211720b1
hex151d1f19

354230041 has 27 divisors (see below), whose sum is σ = 410200063. Its totient is φ = 305653040.

The previous prime is 354230033. The next prime is 354230069. The reversal of 354230041 is 140032453.

The square root of 354230041 is 18821.

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

It can be written as a sum of positive squares in only one way, i.e., 185749641 + 168480400 = 13629^2 + 12980^2 .

It is not a de Polignac number, because 354230041 - 23 = 354230033 is a prime.

It is a super-3 number, since 3×3542300413 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354229994 and 354230021.

It is not an unprimeable number, because it can be changed into a prime (354230141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6003870 + ... + 6003928.

Almost surely, 2354230041 is an apocalyptic number.

354230041 is the 18821-st square number.

354230041 is the 9411-st centered octagonal number.

It is an amenable number.

354230041 is a deficient number, since it is larger than the sum of its proper divisors (55970022).

354230041 is an equidigital number, since it uses as much as digits as its factorization.

354230041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The cubic root of 354230041 is about 707.5575939829.

Adding to 354230041 its reverse (140032453), we get a palindrome (494262494).

The spelling of 354230041 in words is "three hundred fifty-four million, two hundred thirty thousand, forty-one".

Divisors: 1 11 29 59 121 319 649 841 1711 3481 3509 7139 9251 18821 38291 49619 100949 101761 207031 421201 545809 1110439 2927521 6003899 12214829 32202731 354230041