Search a number
-
+
234873360 = 243251731619
BaseRepresentation
bin11011111111111…
…10001000010000
3121100221210200100
431333332020100
5440111421420
635150052400
75551250661
oct1577761020
9540853610
10234873360
11110641917
12667aa100
1339877527
142329d368
1515947190
hexdffe210

234873360 has 240 divisors, whose sum is σ = 863516160. Its totient is φ = 56954880.

The previous prime is 234873347. The next prime is 234873367. The reversal of 234873360 is 63378432.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (234873367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379131 + ... + 379749.

It is an arithmetic number, because the mean of its divisors is an integer number (3597984).

Almost surely, 2234873360 is an apocalyptic number.

234873360 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 234873360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431758080).

234873360 is an abundant number, since it is smaller than the sum of its proper divisors (628642800).

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

234873360 is a wasteful number, since it uses less digits than its factorization.

234873360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 234873360 is about 15325.5786187667. The cubic root of 234873360 is about 616.9897088384.

The spelling of 234873360 in words is "two hundred thirty-four million, eight hundred seventy-three thousand, three hundred sixty".