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434114164 = 221171791759
BaseRepresentation
bin11001111000000…
…000111001110100
31010020212021200101
4121320000321310
51342113123124
6111024323444
713520623651
oct3170007164
91106767611
10434114164
11203056440
12101473584
136bc270b3
1441924c28
15281a1644
hex19e00e74

434114164 has 48 divisors (see below), whose sum is σ = 851558400. Its totient is φ = 191973600.

The previous prime is 434114101. The next prime is 434114171. The reversal of 434114164 is 461411434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245917 + ... + 247675.

It is an arithmetic number, because the mean of its divisors is an integer number (17740800).

Almost surely, 2434114164 is an apocalyptic number.

434114164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434114164 is a deficient number, since it is larger than the sum of its proper divisors (417444236).

434114164 is a wasteful number, since it uses less digits than its factorization.

434114164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1922 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 434114164 is about 20835.4064995142. The cubic root of 434114164 is about 757.1838087532.

Adding to 434114164 its reverse (461411434), we get a palindrome (895525598).

The spelling of 434114164 in words is "four hundred thirty-four million, one hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 71 79 142 158 284 316 781 869 1562 1738 1759 3124 3476 3518 5609 7036 11218 19349 22436 38698 61699 77396 123398 124889 138961 246796 249778 277922 499556 555844 1373779 1528571 2747558 3057142 5495116 6114284 9866231 19732462 39464924 108528541 217057082 434114164