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234145000 = 235446829
BaseRepresentation
bin11011111010011…
…00010011101000
3121022120210120001
431331030103220
5434420120000
635122312344
75542125325
oct1575142350
9538523501
10234145000
11110194671
12664b86b4
1339680b4b
142314db4c
151585146a
hexdf4c4e8

234145000 has 40 divisors (see below), whose sum is σ = 548613450. Its totient is φ = 93656000.

The previous prime is 234144983. The next prime is 234145001. The reversal of 234145000 is 541432.

234145000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 4743684 + 229401316 = 2178^2 + 15146^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (234145001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18415 + ... + 28414.

Almost surely, 2234145000 is an apocalyptic number.

234145000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234145000 is an abundant number, since it is smaller than the sum of its proper divisors (314468450).

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

234145000 is an equidigital number, since it uses as much as digits as its factorization.

234145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46855 (or 46836 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 234145000 is about 15301.7972800583. The cubic root of 234145000 is about 616.3512712315.

Adding to 234145000 its reverse (541432), we get a palindrome (234686432).

The spelling of 234145000 in words is "two hundred thirty-four million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 46829 93658 187316 234145 374632 468290 936580 1170725 1873160 2341450 4682900 5853625 9365800 11707250 23414500 29268125 46829000 58536250 117072500 234145000