Search a number
-
+
241433400 = 233521322381
BaseRepresentation
bin11100110001111…
…11101100111000
3121211022002100210
432120333230320
5443301332100
635542431120
75661102315
oct1630775470
9554262323
10241433400
1111431253a
1268a324a0
133b033400
14240c9d0c
15162e0c50
hexe63fb38

241433400 has 144 divisors (see below), whose sum is σ = 810785160. Its totient is φ = 59404800.

The previous prime is 241433377. The next prime is 241433419. The reversal of 241433400 is 4334142.

241433400 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100210 + ... + 102590.

Almost surely, 2241433400 is an apocalyptic number.

241433400 is a gapful number since it is divisible by the number (20) 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 241433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405392580).

241433400 is an abundant number, since it is smaller than the sum of its proper divisors (569351760).

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

241433400 is a wasteful number, since it uses less digits than its factorization.

241433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 241433400 is about 15538.1273002894. The cubic root of 241433400 is about 622.6812426885.

Adding to 241433400 its reverse (4334142), we get a palindrome (245767542).

The spelling of 241433400 in words is "two hundred forty-one million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 169 195 200 260 300 312 325 338 390 507 520 600 650 676 780 845 975 1014 1300 1352 1560 1690 1950 2028 2381 2535 2600 3380 3900 4056 4225 4762 5070 6760 7143 7800 8450 9524 10140 11905 12675 14286 16900 19048 20280 23810 25350 28572 30953 33800 35715 47620 50700 57144 59525 61906 71430 92859 95240 101400 119050 123812 142860 154765 178575 185718 238100 247624 285720 309530 357150 371436 402389 464295 476200 619060 714300 742872 773825 804778 928590 1207167 1238120 1428600 1547650 1609556 1857180 2011945 2321475 2414334 3095300 3219112 3714360 4023890 4642950 4828668 6035835 6190600 8047780 9285900 9657336 10059725 12071670 16095560 18571800 20119450 24143340 30179175 40238900 48286680 60358350 80477800 120716700 241433400