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243208128 = 2634312939
BaseRepresentation
bin11100111111100…
…00111111000000
3121221122020211110
432133300333000
5444230130003
640044443320
76012143412
oct1637607700
9557566743
10243208128
11115314959
1269549540
133b505147
142442c9b2
1516541a03
hexe7f0fc0

243208128 has 56 divisors (see below), whose sum is σ = 645200640. Its totient is φ = 80853760.

The previous prime is 243208117. The next prime is 243208139. The reversal of 243208128 is 821802342.

It is an interprime number because it is at equal distance from previous prime (243208117) and next prime (243208139).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 243208095 and 243208104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81283 + ... + 84221.

It is an arithmetic number, because the mean of its divisors is an integer number (11521440).

Almost surely, 2243208128 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 243208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322600320).

243208128 is an abundant number, since it is smaller than the sum of its proper divisors (401992512).

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

243208128 is a wasteful number, since it uses less digits than its factorization.

243208128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 243208128 is about 15595.1315480184. The cubic root of 243208128 is about 624.2032539715.

The spelling of 243208128 in words is "two hundred forty-three million, two hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 431 862 1293 1724 2586 2939 3448 5172 5878 6896 8817 10344 11756 13792 17634 20688 23512 27584 35268 41376 47024 70536 82752 94048 141072 188096 282144 564288 1266709 2533418 3800127 5066836 7600254 10133672 15200508 20267344 30401016 40534688 60802032 81069376 121604064 243208128