Search a number
-
+
234170000 = 245423417
BaseRepresentation
bin11011111010100…
…10011010010000
3121022122001211222
431331102122100
5434421420000
635123024212
75542261241
oct1575223220
9538561758
10234170000
11110201429
126650b068
133968c33c
1423158cc8
1515858a85
hexdf52690

234170000 has 50 divisors (see below), whose sum is σ = 566973198. Its totient is φ = 93664000.

The previous prime is 234169993. The next prime is 234170009. The reversal of 234170000 is 71432.

It is a happy number.

234170000 is digitally balanced in base 2, 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 100721296 + 133448704 = 10036^2 + 11552^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (234170009) 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, 1709 + ... + 21708.

Almost surely, 2234170000 is an apocalyptic number.

234170000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283486599).

234170000 is an abundant number, since it is smaller than the sum of its proper divisors (332803198).

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

234170000 is an equidigital number, since it uses as much as digits as its factorization.

234170000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23445 (or 23424 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 234170000 is about 15302.6141557578. The cubic root of 234170000 is about 616.3732066894.

The spelling of 234170000 in words is "two hundred thirty-four million, one hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 23417 46834 93668 117085 187336 234170 374672 468340 585425 936680 1170850 1873360 2341700 2927125 4683400 5854250 9366800 11708500 14635625 23417000 29271250 46834000 58542500 117085000 234170000