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342881728 = 2671674583
BaseRepresentation
bin10100011011111…
…111010111000000
3212220012012022021
4110123333113000
51200234203403
654005051224
711332306120
oct2433772700
9786165267
10342881728
11166603132
12969b6b14
13560631c7
1433776c80
152017e8bd
hex146ff5c0

342881728 has 56 divisors (see below), whose sum is σ = 782433792. Its totient is φ = 146037504.

The previous prime is 342881717. The next prime is 342881741. The reversal of 342881728 is 827188243.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 72525 + ... + 77107.

It is an arithmetic number, because the mean of its divisors is an integer number (13972032).

Almost surely, 2342881728 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 342881728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391216896).

342881728 is an abundant number, since it is smaller than the sum of its proper divisors (439552064).

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

342881728 is a wasteful number, since it uses less digits than its factorization.

342881728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4759 counting only the distinct ones).

The product of its digits is 172032, while the sum is 43.

The square root of 342881728 is about 18517.0658582833. The cubic root of 342881728 is about 699.9195336077.

The spelling of 342881728 in words is "three hundred forty-two million, eight hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 167 224 334 448 668 1169 1336 2338 2672 4583 4676 5344 9166 9352 10688 18332 18704 32081 36664 37408 64162 73328 74816 128324 146656 256648 293312 513296 765361 1026592 1530722 2053184 3061444 5357527 6122888 10715054 12245776 21430108 24491552 42860216 48983104 85720432 171440864 342881728