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434590668 = 2232197233263
BaseRepresentation
bin11001111001110…
…101001111001100
31010021202111022200
4121321311033030
51342223400133
6111042441500
713524650121
oct3171651714
91107674280
10434590668
11203351446
12101663290
136c062c55
1441a0a748
1528247913
hex19e753cc

434590668 has 72 divisors (see below), whose sum is σ = 1113079968. Its totient is φ = 142963968.

The previous prime is 434590633. The next prime is 434590691. The reversal of 434590668 is 866095434.

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 23 ways as a sum of consecutive naturals, for example, 1652305 + ... + 1652567.

It is an arithmetic number, because the mean of its divisors is an integer number (15459444).

Almost surely, 2434590668 is an apocalyptic number.

It is an amenable number.

434590668 is an abundant number, since it is smaller than the sum of its proper divisors (678489300).

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

434590668 is a wasteful number, since it uses less digits than its factorization.

434590668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 434590668 is about 20846.8383214338. The cubic root of 434590668 is about 757.4607475657.

The spelling of 434590668 in words is "four hundred thirty-four million, five hundred ninety thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 197 233 263 394 466 526 591 699 788 789 932 1052 1182 1398 1578 1773 2097 2364 2367 2796 3156 3546 4194 4734 7092 8388 9468 45901 51811 61279 91802 103622 122558 137703 155433 183604 183837 207244 245116 275406 310866 367674 413109 466299 550812 551511 621732 735348 826218 932598 1103022 1652436 1865196 2206044 12071963 24143926 36215889 48287852 72431778 108647667 144863556 217295334 434590668