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434074164 = 223431018329
BaseRepresentation
bin11001110111110…
…111001000110100
31010020210020210220
4121313313020310
51342110333124
6111023414340
713520366226
oct3167671064
91106706726
10434074164
11203029387
121014543b0
136bc11b24
1441914416
1528194879
hex19df7234

434074164 has 48 divisors (see below), whose sum is σ = 1046781120. Its totient is φ = 139910400.

The previous prime is 434074163. The next prime is 434074169. The reversal of 434074164 is 461470434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434074163) 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 15 ways as a sum of consecutive naturals, for example, 47952 + ... + 56280.

It is an arithmetic number, because the mean of its divisors is an integer number (21807940).

Almost surely, 2434074164 is an apocalyptic number.

It is an amenable number.

434074164 is an abundant number, since it is smaller than the sum of its proper divisors (612706956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434074164 is a wasteful number, since it uses less digits than its factorization.

434074164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 434074164 is about 20834.4465729234. The cubic root of 434074164 is about 757.1605519810.

The spelling of 434074164 in words is "four hundred thirty-four million, seventy-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 43 86 101 129 172 202 258 303 404 516 606 1212 4343 8329 8686 13029 16658 17372 24987 26058 33316 49974 52116 99948 358147 716294 841229 1074441 1432588 1682458 2148882 2523687 3364916 4297764 5047374 10094748 36172847 72345694 108518541 144691388 217037082 434074164