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230309352 = 233371311717
BaseRepresentation
bin11011011101000…
…11110111101000
3121001100221001000
431232203313220
5432424344402
634504155000
75464411560
oct1556436750
9531327030
10230309352
11109004909
1265168a60
133893a030
1422831da0
1515344c1c
hexdba3de8

230309352 has 128 divisors (see below), whose sum is σ = 787449600. Its totient is φ = 60735744.

The previous prime is 230309347. The next prime is 230309371. The reversal of 230309352 is 253903032.

230309352 is a `hidden beast` number, since 2 + 3 + 0 + 309 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13798 + ... + 25514.

It is an arithmetic number, because the mean of its divisors is an integer number (6151950).

Almost surely, 2230309352 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 230309352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

230309352 is an abundant number, since it is smaller than the sum of its proper divisors (557140248).

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

230309352 is a wasteful number, since it uses less digits than its factorization.

230309352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11752 (or 11742 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 230309352 is about 15175.9464943706. The cubic root of 230309352 is about 612.9671367373.

The spelling of 230309352 in words is "two hundred thirty million, three hundred nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 11717 19656 23434 35151 46868 70302 82019 93736 105453 140604 152321 164038 210906 246057 281208 304642 316359 328076 421812 456963 492114 609284 632718 656152 738171 843624 913926 984228 1066247 1218568 1265436 1370889 1476342 1827852 1968456 2132494 2214513 2530872 2741778 2952684 3198741 3655704 4112667 4264988 4429026 5483556 5905368 6397482 8225334 8529976 8858052 9596223 10967112 12794964 16450668 17716104 19192446 25589928 28788669 32901336 38384892 57577338 76769784 115154676 230309352