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303314112 = 2633191919
BaseRepresentation
bin10010000101000…
…011010011000000
3210010201221202000
4102011003103000
51110122022422
650033024000
710342061463
oct2205032300
9703657660
10303314112
11146238422
12856b5000
134aabb40a
142c3d72da
151b965cac
hex121434c0

303314112 has 112 divisors (see below), whose sum is σ = 897331200. Its totient is φ = 100465920.

The previous prime is 303314111. The next prime is 303314113. The reversal of 303314112 is 211413303.

It is an interprime number because it is at equal distance from previous prime (303314111) and next prime (303314113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (303314111) 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, 329589 + ... + 330507.

Almost surely, 2303314112 is an apocalyptic number.

303314112 is a gapful number since it is divisible by the number (32) 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 303314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448665600).

303314112 is an abundant number, since it is smaller than the sum of its proper divisors (594017088).

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

303314112 is a wasteful number, since it uses less digits than its factorization.

303314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 303314112 is about 17415.9154798133. The cubic root of 303314112 is about 671.8890122825.

Adding to 303314112 its reverse (211413303), we get a palindrome (514727415).

It can be divided in two parts, 30331 and 4112, that added together give a palindrome (34443).

The spelling of 303314112 in words is "three hundred three million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 191 192 216 288 382 432 573 576 764 864 919 1146 1528 1719 1728 1838 2292 2757 3056 3438 3676 4584 5157 5514 6112 6876 7352 8271 9168 10314 11028 12224 13752 14704 16542 18336 20628 22056 24813 27504 29408 33084 36672 41256 44112 49626 55008 58816 66168 82512 88224 99252 110016 132336 165024 175529 176448 198504 264672 330048 351058 397008 526587 529344 702116 794016 1053174 1404232 1579761 1588032 2106348 2808464 3159522 4212696 4739283 5616928 6319044 8425392 9478566 11233856 12638088 16850784 18957132 25276176 33701568 37914264 50552352 75828528 101104704 151657056 303314112