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434067700 = 2252111013907
BaseRepresentation
bin11001110111110…
…101100011110100
31010020202220221111
4121313311203310
51342110131300
6111023324404
713520341333
oct3167654364
91106686844
10434067700
11203024540
12101450704
136bc0bbc1
1441911d1a
15281929ba
hex19df58f4

434067700 has 72 divisors (see below), whose sum is σ = 1037996064. Its totient is φ = 156240000.

The previous prime is 434067677. The next prime is 434067731. The reversal of 434067700 is 7760434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109147 + ... + 113053.

It is an arithmetic number, because the mean of its divisors is an integer number (14416612).

Almost surely, 2434067700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434067700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518998032).

434067700 is an abundant number, since it is smaller than the sum of its proper divisors (603928364).

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

434067700 is a wasteful number, since it uses less digits than its factorization.

434067700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 434067700 is about 20834.2914446352. The cubic root of 434067700 is about 757.1567935525.

The spelling of 434067700 in words is "four hundred thirty-four million, sixty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 3907 4444 5050 5555 7814 10100 11110 15628 19535 22220 27775 39070 42977 55550 78140 85954 97675 111100 171908 195350 214885 390700 394607 429770 789214 859540 1074425 1578428 1973035 2148850 3946070 4297700 4340677 7892140 8681354 9865175 17362708 19730350 21703385 39460700 43406770 86813540 108516925 217033850 434067700