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345411441 = 32537011033
BaseRepresentation
bin10100100101101…
…000111101110001
3220001221201102100
4110211220331301
51201411131231
654135211013
711362643304
oct2445507561
9801851370
10345411441
11167a80801
1297816a69
135673a78b
1433c34b3b
15204ce1e6
hex14968f71

345411441 has 24 divisors (see below), whose sum is σ = 509559336. Its totient is φ = 225388800.

The previous prime is 345411419. The next prime is 345411503. The reversal of 345411441 is 144114543.

It can be written as a sum of positive squares in 4 ways, for example, as 247401441 + 98010000 = 15729^2 + 9900^2 .

It is not a de Polignac number, because 345411441 - 26 = 345411377 is a prime.

It is a super-3 number, since 3×3454114413 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345411841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333861 + ... + 334893.

It is an arithmetic number, because the mean of its divisors is an integer number (21231639).

Almost surely, 2345411441 is an apocalyptic number.

It is an amenable number.

345411441 is a deficient number, since it is larger than the sum of its proper divisors (164147895).

345411441 is a wasteful number, since it uses less digits than its factorization.

345411441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1790 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 345411441 is about 18585.2479402347. The cubic root of 345411441 is about 701.6366066704.

Adding to 345411441 its reverse (144114543), we get a palindrome (489525984).

The spelling of 345411441 in words is "three hundred forty-five million, four hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 53 159 477 701 1033 2103 3099 6309 9297 37153 54749 111459 164247 334377 492741 724133 2172399 6517197 38379049 115137147 345411441