Search a number
-
+
243470080 = 285729937
BaseRepresentation
bin11101000001100…
…00111100000000
3121222010120011101
432200300330000
5444312020310
640054224144
76014314210
oct1640607400
9558116141
10243470080
11115483747
1269655054
133b597449
142449a240
151659443a
hexe830f00

243470080 has 144 divisors (see below), whose sum is σ = 690217920. Its totient is φ = 80510976.

The previous prime is 243470057. The next prime is 243470081. The reversal of 243470080 is 80074342.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243470081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259372 + ... + 260308.

It is an arithmetic number, because the mean of its divisors is an integer number (4793180).

Almost surely, 2243470080 is an apocalyptic number.

243470080 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 243470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345108960).

243470080 is an abundant number, since it is smaller than the sum of its proper divisors (446747840).

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

243470080 is an equidigital number, since it uses as much as digits as its factorization.

243470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 243470080 is about 15603.5278062366. The cubic root of 243470080 is about 624.4272769416.

The spelling of 243470080 in words is "two hundred forty-three million, four hundred seventy thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 256 280 290 320 406 448 464 560 580 640 812 896 928 937 1015 1120 1160 1280 1624 1792 1856 1874 2030 2240 2320 3248 3712 3748 4060 4480 4640 4685 6496 6559 7424 7496 8120 8960 9280 9370 12992 13118 14992 16240 18560 18740 25984 26236 27173 29984 32480 32795 37120 37480 51968 52472 54346 59968 64960 65590 74960 104944 108692 119936 129920 131180 135865 149920 190211 209888 217384 239872 259840 262360 271730 299840 380422 419776 434768 524720 543460 599680 760844 839552 869536 951055 1049440 1086920 1199360 1521688 1679104 1739072 1902110 2098880 2173840 3043376 3478144 3804220 4197760 4347680 6086752 6956288 7608440 8395520 8695360 12173504 15216880 17390720 24347008 30433760 34781440 48694016 60867520 121735040 243470080