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309230952 = 2331723311063
BaseRepresentation
bin10010011011100…
…111110101101000
3210112212120010020
4102123213311220
51113130342302
650403520440
710443263652
oct2233476550
9715776106
10309230952
11149609878
1287689120
134c0b05c4
142d0d76d2
151c233ebc
hex126e7d68

309230952 has 128 divisors (see below), whose sum is σ = 882524160. Its totient is φ = 89717760.

The previous prime is 309230951. The next prime is 309230959. The reversal of 309230952 is 259032903.

309230952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (309230951) 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, 290373 + ... + 291435.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2309230952 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 309230952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080).

309230952 is an abundant number, since it is smaller than the sum of its proper divisors (573293208).

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

309230952 is a wasteful number, since it uses less digits than its factorization.

309230952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 309230952 is about 17584.9638043415. The cubic root of 309230952 is about 676.2298216048.

The spelling of 309230952 in words is "three hundred nine million, two hundred thirty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 31 34 46 51 62 68 69 92 93 102 124 136 138 184 186 204 248 276 372 391 408 527 552 713 744 782 1054 1063 1173 1426 1564 1581 2108 2126 2139 2346 2852 3128 3162 3189 4216 4252 4278 4692 5704 6324 6378 8504 8556 9384 12121 12648 12756 17112 18071 24242 24449 25512 32953 36142 36363 48484 48898 54213 65906 72284 72726 73347 96968 97796 98859 108426 131812 144568 145452 146694 195592 197718 216852 263624 290904 293388 395436 415633 433704 560201 586776 757919 790872 831266 1120402 1246899 1515838 1662532 1680603 2240804 2273757 2493798 3031676 3325064 3361206 4481608 4547514 4987596 6063352 6722412 9095028 9975192 12884623 13444824 18190056 25769246 38653869 51538492 77307738 103076984 154615476 309230952