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304400000 = 2755761
BaseRepresentation
bin10010001001001…
…100011010000000
3210012210010022002
4102021030122000
51110411300000
650112203132
710354233362
oct2211143200
9705703262
10304400000
1114690a253
1285b394a8
134b0ab758
142c5dad32
151bacc8d5
hex1224c680

304400000 has 96 divisors (see below), whose sum is σ = 758974860. Its totient is φ = 121600000.

The previous prime is 304399987. The next prime is 304400027. The reversal of 304400000 is 4403.

It can be written as a sum of positive squares in 6 ways, for example, as 132894784 + 171505216 = 11528^2 + 13096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399620 + ... + 400380.

Almost surely, 2304400000 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 304400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379487430).

304400000 is an abundant number, since it is smaller than the sum of its proper divisors (454574860).

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

304400000 is an frugal number, since it uses more digits than its factorization.

304400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 304400000 is about 17447.0627900515. The cubic root of 304400000 is about 672.6898622311.

Adding to 304400000 its reverse (4403), we get a palindrome (304404403).

The spelling of 304400000 in words is "three hundred four million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 761 800 1000 1250 1522 1600 2000 2500 3044 3125 3200 3805 4000 5000 6088 6250 7610 8000 10000 12176 12500 15220 16000 19025 20000 24352 25000 30440 38050 40000 48704 50000 60880 76100 80000 95125 97408 100000 121760 152200 190250 200000 243520 304400 380500 400000 475625 487040 608800 761000 951250 1217600 1522000 1902500 2378125 2435200 3044000 3805000 4756250 6088000 7610000 9512500 12176000 15220000 19025000 30440000 38050000 60880000 76100000 152200000 304400000