Search a number
-
+
243835038720 = 2103457213271
BaseRepresentation
bin1110001100010110110…
…0110110110000000000
3212022101021122101010000
43203011230312300000
512443333232214340
6304003303040000
723421313426500
oct3430554666000
9768337571100
10243835038720
1194456582629
123b30ba40000
1319cbba86400
14bb31b41a00
156521998d30
hex38c5b36c00

243835038720 has 1980 divisors, whose sum is σ = 1116125177904. Its totient is φ = 50721914880.

The previous prime is 243835038701. The next prime is 243835038749. The reversal of 243835038720 is 27830538342.

243835038720 is a `hidden beast` number, since 2 + 43 + 8 + 3 + 503 + 87 + 20 = 666.

It is a super-2 number, since 2×2438350387202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3434296285 + ... + 3434296355.

Almost surely, 2243835038720 is an apocalyptic number.

243835038720 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 243835038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558062588952).

243835038720 is an abundant number, since it is smaller than the sum of its proper divisors (872290139184).

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

243835038720 is a wasteful number, since it uses less digits than its factorization.

243835038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 243835038720 in words is "two hundred forty-three billion, eight hundred thirty-five million, thirty-eight thousand, seven hundred twenty".