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234630032 = 24721323021
BaseRepresentation
bin11011111110000…
…10101110010000
3121100111102220012
431333002232100
5440031130112
635140534052
75546215400
oct1577025620
9540442805
10234630032
1111049601a
12666b1328
13397c0850
1423238800
15158ea022
hexdfc2b90

234630032 has 60 divisors (see below), whose sum is σ = 569518236. Its totient is φ = 92816640.

The previous prime is 234630029. The next prime is 234630043. The reversal of 234630032 is 230036432.

It can be written as a sum of positive squares in 2 ways, for example, as 32307856 + 202322176 = 5684^2 + 14224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1319 + ... + 21702.

Almost surely, 2234630032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234630032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284759118).

234630032 is an abundant number, since it is smaller than the sum of its proper divisors (334888204).

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

234630032 is a wasteful number, since it uses less digits than its factorization.

234630032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23056 (or 23043 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 234630032 is about 15317.6379380112. The cubic root of 234630032 is about 616.7765688059.

Adding to 234630032 its reverse (230036432), we get a palindrome (464666464).

The spelling of 234630032 in words is "two hundred thirty-four million, six hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 23021 46042 92084 161147 184168 299273 322294 368336 598546 644588 1128029 1197092 1289176 2094911 2256058 2394184 2578352 4189822 4512116 4788368 8379644 9024232 14664377 16759288 18048464 29328754 33518576 58657508 117315016 234630032