Search a number
-
+
243474320 = 245231131171
BaseRepresentation
bin11101000001100…
…01111110010000
3121222010202222102
432200301332100
5444312134240
640054255532
76014332445
oct1640617620
9558122872
10243474320
11115486951
12696575a8
133b59935b
142449b9cc
1516595815
hexe831f90

243474320 has 80 divisors (see below), whose sum is σ = 596426112. Its totient is φ = 92252160.

The previous prime is 243474317. The next prime is 243474331. The reversal of 243474320 is 23474342.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207335 + ... + 208505.

Almost surely, 2243474320 is an apocalyptic number.

243474320 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 243474320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298213056).

243474320 is an abundant number, since it is smaller than the sum of its proper divisors (352951792).

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

243474320 is a wasteful number, since it uses less digits than its factorization.

243474320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 29.

The square root of 243474320 is about 15603.6636723559. The cubic root of 243474320 is about 624.4309016940.

The spelling of 243474320 in words is "two hundred forty-three million, four hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 113 115 184 226 230 368 452 460 565 904 920 1130 1171 1808 1840 2260 2342 2599 4520 4684 5198 5855 9040 9368 10396 11710 12995 18736 20792 23420 25990 26933 41584 46840 51980 53866 93680 103960 107732 132323 134665 207920 215464 264646 269330 430928 529292 538660 661615 1058584 1077320 1323230 2117168 2154640 2646460 3043429 5292920 6086858 10585840 12173716 15217145 24347432 30434290 48694864 60868580 121737160 243474320