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234090 = 2345172
BaseRepresentation
bin111001001001101010
3102220010000
4321021222
524442330
65003430
71663323
oct711152
9386100
10234090
1114a96a
12b3576
138271c
146144a
1549560
hex3926a

234090 has 60 divisors (see below), whose sum is σ = 668646. Its totient is φ = 58752.

The previous prime is 234089. The next prime is 234103. The reversal of 234090 is 90432.

234090 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 3 ways, for example, as 227529 + 6561 = 477^2 + 81^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13762 + ... + 13778.

2234090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334323).

234090 is an abundant number, since it is smaller than the sum of its proper divisors (434556).

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

234090 is a wasteful number, since it uses less digits than its factorization.

234090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 234090 is about 483.8284820058. The cubic root of 234090 is about 61.6303007727.

The spelling of 234090 in words is "two hundred thirty-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 289 306 405 459 510 578 765 810 867 918 1377 1445 1530 1734 2295 2601 2754 2890 4335 4590 5202 6885 7803 8670 13005 13770 15606 23409 26010 39015 46818 78030 117045 234090