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434401101 = 321012232143
BaseRepresentation
bin11001111001000…
…110111101001101
31010021101212021200
4121321012331031
51342201313401
6111034420113
713523230341
oct3171067515
91107355250
10434401101
11203231a82
12101591639
136bcc7894
144199b621
152820b686
hex19e46f4d

434401101 has 24 divisors (see below), whose sum is σ = 636819456. Its totient is φ = 285314400.

The previous prime is 434401081. The next prime is 434401141. The reversal of 434401101 is 101104434.

It is not a de Polignac number, because 434401101 - 219 = 433876813 is a prime.

It is a super-3 number, since 3×4344011013 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434401141) 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 23 ways as a sum of consecutive naturals, for example, 201636 + ... + 203778.

It is an arithmetic number, because the mean of its divisors is an integer number (26534144).

Almost surely, 2434401101 is an apocalyptic number.

It is an amenable number.

434401101 is a deficient number, since it is larger than the sum of its proper divisors (202418355).

434401101 is a wasteful number, since it uses less digits than its factorization.

434401101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 434401101 is about 20842.2911648408. The cubic root of 434401101 is about 757.3505975979.

Adding to 434401101 its reverse (101104434), we get a palindrome (535505535).

The spelling of 434401101 in words is "four hundred thirty-four million, four hundred one thousand, one hundred one".

Divisors: 1 3 9 101 223 303 669 909 2007 2143 6429 19287 22523 67569 202707 216443 477889 649329 1433667 1947987 4301001 48266789 144800367 434401101