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434385 = 32572197
BaseRepresentation
bin1101010000011010001
3211001212100
41222003101
5102400020
613151013
73456300
oct1520321
9731770
10434385
112773a6
1218b469
13122943
14b4437
1588a90
hex6a0d1

434385 has 36 divisors (see below), whose sum is σ = 880308. Its totient is φ = 197568.

The previous prime is 434383. The next prime is 434387. The reversal of 434385 is 583434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (434383) and next prime (434387).

It can be written as a sum of positive squares in 2 ways, for example, as 321489 + 112896 = 567^2 + 336^2 .

It is not a de Polignac number, because 434385 - 21 = 434383 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2107 + ... + 2303.

It is an arithmetic number, because the mean of its divisors is an integer number (24453).

2434385 is an apocalyptic number.

434385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

434385 is an abundant number, since it is smaller than the sum of its proper divisors (445923).

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

434385 is a wasteful number, since it uses less digits than its factorization.

434385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 434385 is about 659.0789027120. The cubic root of 434385 is about 75.7341240460.

The spelling of 434385 in words is "four hundred thirty-four thousand, three hundred eighty-five".