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304880112 = 2434367641
BaseRepresentation
bin10010001011000…
…001100111110000
3210020200111220000
4102023001213300
51111022130422
650130350000
710361303205
oct2213014760
9706614800
10304880112
11147107a39
128612b300
134b219144
142c6c3cac
151bb74cac
hex122c19f0

304880112 has 100 divisors (see below), whose sum is σ = 886196256. Its totient is φ = 101191680.

The previous prime is 304880101. The next prime is 304880119. The reversal of 304880112 is 211088403.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304880119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 475312 + ... + 475952.

Almost surely, 2304880112 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 304880112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443098128).

304880112 is an abundant number, since it is smaller than the sum of its proper divisors (581316144).

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

304880112 is a wasteful number, since it uses less digits than its factorization.

304880112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 304880112 is about 17460.8164757551. The cubic root of 304880112 is about 673.0433410147.

The spelling of 304880112 in words is "three hundred four million, eight hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 367 432 641 648 734 1101 1282 1296 1468 1923 2202 2564 2936 3303 3846 4404 5128 5769 5872 6606 7692 8808 9909 10256 11538 13212 15384 17307 17616 19818 23076 26424 29727 30768 34614 39636 46152 51921 52848 59454 69228 79272 92304 103842 118908 138456 158544 207684 235247 237816 276912 415368 470494 475632 705741 830736 940988 1411482 1881976 2117223 2822964 3763952 4234446 5645928 6351669 8468892 11291856 12703338 16937784 19055007 25406676 33875568 38110014 50813352 76220028 101626704 152440056 304880112