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434141019 = 331317312347
BaseRepresentation
bin11001111000000…
…111011101011011
31010020220122112000
4121320013131123
51342120003034
6111025052043
713521065154
oct3170073533
91106818460
10434141019
11203074634
12101487023
136bc363a0
144193092b
15281a9599
hex19e0775b

434141019 has 64 divisors (see below), whose sum is σ = 757370880. Its totient is φ = 243233280.

The previous prime is 434140997. The next prime is 434141023. The reversal of 434141019 is 910141434.

It is not a de Polignac number, because 434141019 - 213 = 434132827 is a prime.

It is a super-2 number, since 2×4341410192 = 376956848756716722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 434140983 and 434141001.

It is not an unprimeable number, because it can be changed into a prime (434141119) 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 63 ways as a sum of consecutive naturals, for example, 183804 + ... + 186150.

It is an arithmetic number, because the mean of its divisors is an integer number (11833920).

Almost surely, 2434141019 is an apocalyptic number.

434141019 is a deficient number, since it is larger than the sum of its proper divisors (323229861).

434141019 is a wasteful number, since it uses less digits than its factorization.

434141019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 434141019 is about 20836.0509454167. The cubic root of 434141019 is about 757.1994219671.

The spelling of 434141019 in words is "four hundred thirty-four million, one hundred forty-one thousand, nineteen".

Divisors: 1 3 9 13 17 27 31 39 51 93 117 153 221 279 351 403 459 527 663 837 1209 1581 1989 2347 3627 4743 5967 6851 7041 10881 14229 20553 21123 30511 39899 61659 63369 72757 91533 119697 184977 218271 274599 359091 518687 654813 823797 945841 1077273 1236869 1556061 1964439 2837523 3710607 4668183 8512569 11131821 14004549 16079297 25537707 33395463 48237891 144713673 434141019