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243310816 = 2573137947
BaseRepresentation
bin11101000000010…
…10000011100000
3121221211110200201
432200022003200
5444241421231
640050554544
76013051660
oct1640120340
9557743621
10243310816
11115385021
1269598a54
133b53cac8
14244581a0
1516562161
hexe80a0e0

243310816 has 96 divisors (see below), whose sum is σ = 580995072. Its totient is φ = 98081280.

The previous prime is 243310807. The next prime is 243310849. The reversal of 243310816 is 618013342.

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

It is a congruent number.

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, 256455 + ... + 257401.

It is an arithmetic number, because the mean of its divisors is an integer number (6052032).

Almost surely, 2243310816 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 243310816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290497536).

243310816 is an abundant number, since it is smaller than the sum of its proper divisors (337684256).

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

243310816 is a wasteful number, since it uses less digits than its factorization.

243310816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 243310816 is about 15598.4235100859. The cubic root of 243310816 is about 624.2910925444.

The spelling of 243310816 in words is "two hundred forty-three million, three hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 74 112 124 148 217 224 248 259 296 434 496 518 592 868 947 992 1036 1147 1184 1736 1894 2072 2294 3472 3788 4144 4588 6629 6944 7576 8029 8288 9176 13258 15152 16058 18352 26516 29357 30304 32116 35039 36704 53032 58714 64232 70078 106064 117428 128464 140156 205499 212128 234856 245273 256928 280312 410998 469712 490546 560624 821996 939424 981092 1086209 1121248 1643992 1962184 2172418 3287984 3924368 4344836 6575968 7603463 7848736 8689672 15206926 17379344 30413852 34758688 60827704 121655408 243310816