Search a number
-
+
243940608 = 2832239443
BaseRepresentation
bin11101000101000…
…11110100000000
3122000000110121100
432202203310000
5444422044413
640112254400
76021314052
oct1642436400
9560013540
10243940608
1111577520a
1269841400
133b700672
142457d8d2
1516638a73
hexe8a3d00

243940608 has 108 divisors (see below), whose sum is σ = 707878080. Its totient is φ = 80790528.

The previous prime is 243940603. The next prime is 243940637. The reversal of 243940608 is 806049342.

It is a happy number.

243940608 is a `hidden beast` number, since 2 + 4 + 3 + 9 + 40 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243940603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550435 + ... + 550877.

Almost surely, 2243940608 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 243940608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353939040).

243940608 is an abundant number, since it is smaller than the sum of its proper divisors (463937472).

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

243940608 is a wasteful number, since it uses less digits than its factorization.

243940608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 243940608 is about 15618.5981445199. The cubic root of 243940608 is about 624.8292721941.

The spelling of 243940608 in words is "two hundred forty-three million, nine hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 256 288 384 443 478 576 717 768 886 956 1152 1329 1434 1772 1912 2151 2304 2658 2868 3544 3824 3987 4302 5316 5736 7088 7648 7974 8604 10632 11472 14176 15296 15948 17208 21264 22944 28352 30592 31896 34416 42528 45888 56704 61184 63792 68832 85056 91776 105877 113408 127584 137664 170112 183552 211754 255168 275328 317631 340224 423508 510336 550656 635262 847016 952893 1020672 1270524 1694032 1905786 2541048 3388064 3811572 5082096 6776128 7623144 10164192 13552256 15246288 20328384 27104512 30492576 40656768 60985152 81313536 121970304 243940608