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434054445 = 35115944587
BaseRepresentation
bin11001110111110…
…010010100101101
31010020202020202120
4121313302110231
51342104220240
6111023143153
713520254566
oct3167622455
91106666676
10434054445
11203015590
12101444ab9
136bc05b66
144190b16d
152818dad0
hex19df252d

434054445 has 32 divisors (see below), whose sum is σ = 770480640. Its totient is φ = 206879040.

The previous prime is 434054443. The next prime is 434054461. The reversal of 434054445 is 544450434.

It is a happy number.

It is not a de Polignac number, because 434054445 - 21 = 434054443 is a prime.

It is a super-2 number, since 2×4340544452 = 376806522448516050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434054443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12559 + ... + 32028.

It is an arithmetic number, because the mean of its divisors is an integer number (24077520).

Almost surely, 2434054445 is an apocalyptic number.

It is an amenable number.

434054445 is a deficient number, since it is larger than the sum of its proper divisors (336426195).

434054445 is a wasteful number, since it uses less digits than its factorization.

434054445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44665.

The product of its (nonzero) digits is 76800, while the sum is 33.

The square root of 434054445 is about 20833.9733368362. The cubic root of 434054445 is about 757.1490864479.

It can be divided in two parts, 4340 and 54445, that added together give a palindrome (58785).

The spelling of 434054445 in words is "four hundred thirty-four million, fifty-four thousand, four hundred forty-five".

Divisors: 1 3 5 11 15 33 55 59 165 177 295 649 885 1947 3245 9735 44587 133761 222935 490457 668805 1471371 2452285 2630633 7356855 7891899 13153165 28936963 39459495 86810889 144684815 434054445