Search a number
-
+
243003440 = 24517197907
BaseRepresentation
bin11100111101111…
…11000000110000
3121221020212001102
432132333000300
5444202102230
640040223532
76010331561
oct1636770060
9557225042
10243003440
11115195099
126946aba8
133b462c24
14243b8168
1516501045
hexe7bf030

243003440 has 80 divisors (see below), whose sum is σ = 601916832. Its totient is φ = 90918912.

The previous prime is 243003437. The next prime is 243003469. The reversal of 243003440 is 44300342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267467 + ... + 268373.

Almost surely, 2243003440 is an apocalyptic number.

243003440 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 243003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300958416).

243003440 is an abundant number, since it is smaller than the sum of its proper divisors (358913392).

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

243003440 is a wasteful number, since it uses less digits than its factorization.

243003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 243003440 is about 15588.5676057808. The cubic root of 243003440 is about 624.0280915471.

Adding to 243003440 its reverse (44300342), we get a palindrome (287303782).

The spelling of 243003440 in words is "two hundred forty-three million, three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 197 272 340 394 680 788 907 985 1360 1576 1814 1970 3152 3349 3628 3940 4535 6698 7256 7880 9070 13396 14512 15419 15760 16745 18140 26792 30838 33490 36280 53584 61676 66980 72560 77095 123352 133960 154190 178679 246704 267920 308380 357358 616760 714716 893395 1233520 1429432 1786790 2858864 3037543 3573580 6075086 7147160 12150172 14294320 15187715 24300344 30375430 48600688 60750860 121501720 243003440