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234007312 = 247111711173
BaseRepresentation
bin11011111001010…
…10101100010000
3121022022210200111
431330222230100
5434401213222
635115331104
75541013030
oct1574525420
9538283614
10234007312
11110100180
1266450a94
1339633286
14231158c0
1515825777
hexdf2ab10

234007312 has 80 divisors (see below), whose sum is σ = 598568832. Its totient is φ = 85800960.

The previous prime is 234007309. The next prime is 234007321. The reversal of 234007312 is 213700432.

234007312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15358 + ... + 26530.

Almost surely, 2234007312 is an apocalyptic number.

234007312 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 234007312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299284416).

234007312 is an abundant number, since it is smaller than the sum of its proper divisors (364561520).

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

234007312 is a wasteful number, since it uses less digits than its factorization.

234007312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11216 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 234007312 is about 15297.2975391080. The cubic root of 234007312 is about 616.2304332693.

Adding to 234007312 its reverse (213700432), we get a palindrome (447707744).

The spelling of 234007312 in words is "two hundred thirty-four million, seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2992 5236 10472 11173 20944 22346 44692 78211 89384 122903 156422 178768 189941 245806 312844 379882 491612 625688 759764 860321 983224 1251376 1329587 1519528 1720642 1966448 2089351 2659174 3039056 3441284 4178702 5318348 6882568 8357404 10636696 13765136 14625457 16714808 21273392 29250914 33429616 58501828 117003656 234007312