Search a number
-
+
234562080 = 2535618011
BaseRepresentation
bin11011111101100…
…10001000100000
3121100100222200110
431332302020200
5440021441310
635135251320
75545513314
oct1576621040
9540328613
10234562080
11110449a65
1266679b40
133979893c
142321bb44
15158d4d20
hexdfb2220

234562080 has 96 divisors (see below), whose sum is σ = 751076928. Its totient is φ = 61516800.

The previous prime is 234562057. The next prime is 234562093. The reversal of 234562080 is 80265432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25275 + ... + 33285.

It is an arithmetic number, because the mean of its divisors is an integer number (7823718).

Almost surely, 2234562080 is an apocalyptic number.

234562080 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 234562080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375538464).

234562080 is an abundant number, since it is smaller than the sum of its proper divisors (516514848).

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

234562080 is a wasteful number, since it uses less digits than its factorization.

234562080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8090 (or 8082 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 234562080 is about 15315.4196808315. The cubic root of 234562080 is about 616.7170208050.

The spelling of 234562080 in words is "two hundred thirty-four million, five hundred sixty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4880 5856 7320 8011 9760 14640 16022 24033 29280 32044 40055 48066 64088 80110 96132 120165 128176 160220 192264 240330 256352 320440 384528 480660 488671 640880 769056 961320 977342 1281760 1466013 1922640 1954684 2443355 2932026 3845280 3909368 4886710 5864052 7330065 7818736 9773420 11728104 14660130 15637472 19546840 23456208 29320260 39093680 46912416 58640520 78187360 117281040 234562080