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1230230344 = 237294379223
BaseRepresentation
bin100100101010011…
…1101001101001000
310011201220011202211
41021110331031020
510004414332334
6322024034504
742325533250
oct11124751510
93151804684
101230230344
115814842a2
122a4002a34
13167b4a265
14b955c960
157300ca64
hex4953d348

1230230344 has 128 divisors (see below), whose sum is σ = 2838528000. Its totient is φ = 488726784.

The previous prime is 1230230341. The next prime is 1230230369. The reversal of 1230230344 is 4430320321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1230230341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5516617 + ... + 5516839.

It is an arithmetic number, because the mean of its divisors is an integer number (22176000).

Almost surely, 21230230344 is an apocalyptic number.

1230230344 is a gapful number since it is divisible by the number (14) 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 1230230344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419264000).

1230230344 is an abundant number, since it is smaller than the sum of its proper divisors (1608297656).

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

1230230344 is a wasteful number, since it uses less digits than its factorization.

1230230344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1230230344 is about 35074.6396132590. The cubic root of 1230230344 is about 1071.5081490033.

Adding to 1230230344 its reverse (4430320321), we get a palindrome (5660550665).

The spelling of 1230230344 in words is "one billion, two hundred thirty million, two hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 29 43 56 58 79 86 116 158 172 203 223 232 301 316 344 406 446 553 602 632 812 892 1106 1204 1247 1561 1624 1784 2212 2291 2408 2494 3122 3397 4424 4582 4988 6244 6467 6794 8729 9164 9589 9976 12488 12934 13588 16037 17458 17617 18328 19178 23779 25868 27176 32074 34916 35234 38356 45269 47558 51736 64148 67123 69832 70468 76712 90538 95116 98513 123319 128296 134246 140936 181076 190232 197026 246638 268492 278081 362152 394052 493276 510893 536984 556162 689591 757531 788104 986552 1021786 1112324 1379182 1515062 1946567 2043572 2224648 2758364 3030124 3576251 3893134 4087144 5302717 5516728 6060248 7152502 7786268 10605434 14305004 15572536 21210868 21968399 28610008 42421736 43936798 87873596 153778793 175747192 307557586 615115172 1230230344