Search a number
-
+
234481760 = 2557120641
BaseRepresentation
bin11011111100111…
…10100001100000
3121100012220111122
431332132201200
5440011404020
635133431412
75545030202
oct1576364140
9540186448
10234481760
111103a4687
126663b568
133976b206
14231da772
15158bb125
hexdf9e860

234481760 has 48 divisors (see below), whose sum is σ = 561792672. Its totient is φ = 92467200.

The previous prime is 234481739. The next prime is 234481763. The reversal of 234481760 is 67184432.

It is a self number, because there is not a number n which added to its sum of digits gives 234481760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234481763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040 + ... + 21680.

It is an arithmetic number, because the mean of its divisors is an integer number (11704014).

Almost surely, 2234481760 is an apocalyptic number.

234481760 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 234481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280896336).

234481760 is an abundant number, since it is smaller than the sum of its proper divisors (327310912).

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

234481760 is a wasteful number, since it uses less digits than its factorization.

234481760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20727 (or 20719 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 234481760 is about 15312.7972624207. The cubic root of 234481760 is about 616.6466195902.

The spelling of 234481760 in words is "two hundred thirty-four million, four hundred eighty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 11360 20641 41282 82564 103205 165128 206410 330256 412820 660512 825640 1465511 1651280 2931022 3302560 5862044 7327555 11724088 14655110 23448176 29310220 46896352 58620440 117240880 234481760