Search a number
-
+
1230333312 = 273131931277
BaseRepresentation
bin100100101010101…
…0110010110000000
310011202002102000110
41021111112112000
510004431131222
6322030151320
742326442405
oct11125262600
93152072013
101230333312
1158154469a
122a4052540
13167b850a0
14b95882ac
157302d30c
hex49556580

1230333312 has 128 divisors (see below), whose sum is σ = 3540468960. Its totient is φ = 376307712.

The previous prime is 1230333283. The next prime is 1230333317. The reversal of 1230333312 is 2133330321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230333317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962818 + ... + 964094.

Almost surely, 21230333312 is an apocalyptic number.

1230333312 is a gapful number since it is divisible by the number (12) 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 1230333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770234480).

1230333312 is an abundant number, since it is smaller than the sum of its proper divisors (2310135648).

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

1230333312 is a wasteful number, since it uses less digits than its factorization.

1230333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 1230333312 is about 35076.1074237151. The cubic root of 1230333312 is about 1071.5380425848.

Adding to 1230333312 its reverse (2133330321), we get a palindrome (3363663633).

The spelling of 1230333312 in words is "one billion, two hundred thirty million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 193 208 312 384 386 416 579 624 772 832 1158 1248 1277 1544 1664 2316 2496 2509 2554 3088 3831 4632 4992 5018 5108 6176 7527 7662 9264 10036 10216 12352 15054 15324 16601 18528 20072 20432 24704 30108 30648 33202 37056 40144 40864 49803 60216 61296 66404 74112 80288 81728 99606 120432 122592 132808 160576 163456 199212 240864 245184 246461 265616 321152 398424 481728 490368 492922 531232 739383 796848 963456 985844 1062464 1478766 1593696 1971688 2124928 2957532 3187392 3203993 3943376 5915064 6374784 6407986 7886752 9611979 11830128 12815972 15773504 19223958 23660256 25631944 31547008 38447916 47320512 51263888 76895832 94641024 102527776 153791664 205055552 307583328 410111104 615166656 1230333312