Search a number
-
+
304041400 = 235213337347
BaseRepresentation
bin10010000111110…
…100110110111000
3210012002220101121
4102013310312320
51110313311100
650100355024
710351211035
oct2207646670
9705086347
10304041400
11146694893
12859a5a74
134acb4470
142c54638c
151ba5b51a
hex121f4db8

304041400 has 96 divisors (see below), whose sum is σ = 765732240. Its totient is φ = 111605760.

The previous prime is 304041389. The next prime is 304041473. The reversal of 304041400 is 4140403.

304041400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876027 + ... + 876373.

Almost surely, 2304041400 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 304041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382866120).

304041400 is an abundant number, since it is smaller than the sum of its proper divisors (461690840).

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

304041400 is a wasteful number, since it uses less digits than its factorization.

304041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 304041400 is about 17436.7829601679. The cubic root of 304041400 is about 672.4256031721.

Adding to 304041400 its reverse (4140403), we get a palindrome (308181803).

The spelling of 304041400 in words is "three hundred four million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 337 347 520 650 674 694 1300 1348 1388 1685 1735 2600 2696 2776 3370 3470 4381 4511 6740 6940 8425 8675 8762 9022 13480 13880 16850 17350 17524 18044 21905 22555 33700 34700 35048 36088 43810 45110 67400 69400 87620 90220 109525 112775 116939 175240 180440 219050 225550 233878 438100 451100 467756 584695 876200 902200 935512 1169390 1520207 2338780 2923475 3040414 4677560 5846950 6080828 7601035 11693900 12161656 15202070 23387800 30404140 38005175 60808280 76010350 152020700 304041400