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234288912 = 2431121329107
BaseRepresentation
bin11011111011011…
…11011100010000
3121022212002222010
431331233130100
5434434221122
635125342520
75543265024
oct1575573420
9538762863
10234288912
11110282800
1266567a40
13397014c0
142318a384
151587de0c
hexdf6f710

234288912 has 240 divisors, whose sum is σ = 748077120. Its totient is φ = 62684160.

The previous prime is 234288893. The next prime is 234288913. The reversal of 234288912 is 219882432.

It is a super-2 number, since 2×2342889122 = 109782588572287488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (234288913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2189563 + ... + 2189669.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2234288912 is an apocalyptic number.

234288912 is a gapful number since it is divisible by the number (22) 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 234288912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374038560).

234288912 is an abundant number, since it is smaller than the sum of its proper divisors (513788208).

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

234288912 is a wasteful number, since it uses less digits than its factorization.

234288912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 234288912 is about 15306.4990118577. The cubic root of 234288912 is about 616.4775208884.

The spelling of 234288912 in words is "two hundred thirty-four million, two hundred eighty-eight thousand, nine hundred twelve".