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434001006 = 232103234089
BaseRepresentation
bin11001110111100…
…101010001101110
31010020122112110100
4121313211101232
51342101013011
6111022051530
713516643025
oct3167452156
91106575410
10434001006
11202a8941a
12101419ba6
136bbb773a
14418d58bc
152817cd56
hex19de546e

434001006 has 24 divisors (see below), whose sum is σ = 949469040. Its totient is φ = 143261856.

The previous prime is 434000999. The next prime is 434001013. The reversal of 434001006 is 600100434.

It is an interprime number because it is at equal distance from previous prime (434000999) and next prime (434001013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 434001006.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 115191 + ... + 118898.

It is an arithmetic number, because the mean of its divisors is an integer number (39561210).

Almost surely, 2434001006 is an apocalyptic number.

434001006 is an abundant number, since it is smaller than the sum of its proper divisors (515468034).

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

434001006 is a wasteful number, since it uses less digits than its factorization.

434001006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234200 (or 234197 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 434001006 is about 20832.6908007583. The cubic root of 434001006 is about 757.1180128111.

The spelling of 434001006 in words is "four hundred thirty-four million, one thousand, six".

Divisors: 1 2 3 6 9 18 103 206 309 618 927 1854 234089 468178 702267 1404534 2106801 4213602 24111167 48222334 72333501 144667002 217000503 434001006