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431444134 = 211219103911
BaseRepresentation
bin11001101101110…
…101000010100110
31010001211122002101
4121231311002212
51340422203014
6110451202314
713456133422
oct3155650246
91101748071
10431444134
112015a2400
121005a639a
136b5009b4
144142bb82
1527d25474
hex19b750a6

431444134 has 48 divisors (see below), whose sum is σ = 756887040. Its totient is φ = 183783600.

The previous prime is 431444131. The next prime is 431444159.

It is a happy number.

431444134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4314441342 = 372288081526019912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431444131) 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, 473139 + ... + 474049.

It is an arithmetic number, because the mean of its divisors is an integer number (15768480).

Almost surely, 2431444134 is an apocalyptic number.

431444134 is a deficient number, since it is larger than the sum of its proper divisors (325442906).

431444134 is a wasteful number, since it uses less digits than its factorization.

431444134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1046 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 431444134 is about 20771.2333288132. The cubic root of 431444134 is about 755.6282559210.

It can be divided in two parts, 43144 and 4134, that added together give a triangular number (47278 = T307).

The spelling of 431444134 in words is "four hundred thirty-one million, four hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 11 19 22 38 103 121 206 209 242 418 911 1133 1822 1957 2266 2299 3914 4598 10021 12463 17309 20042 21527 24926 34618 43054 93833 110231 187666 190399 220462 236797 380798 473594 1032163 1782827 2064326 2094389 3565654 4188778 11353793 19611097 22707586 39222194 215722067 431444134