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342805296 = 243193710159
BaseRepresentation
bin10100011011101…
…100101100110000
3212220001022110110
4110123230230300
51200224232141
654003301320
711331540231
oct2433545460
9786038413
10342805296
11166560769
129697a840
1356037492
1433757088
1520166e16
hex146ecb30

342805296 has 80 divisors (see below), whose sum is σ = 957478400. Its totient is φ = 105318144.

The previous prime is 342805283. The next prime is 342805301. The reversal of 342805296 is 692508243.

It is a happy number.

342805296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 28665 + ... + 38823.

It is an arithmetic number, because the mean of its divisors is an integer number (11968480).

Almost surely, 2342805296 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 342805296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478739200).

342805296 is an abundant number, since it is smaller than the sum of its proper divisors (614673104).

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

342805296 is a wasteful number, since it uses less digits than its factorization.

342805296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10226 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 342805296 is about 18515.0019173642. The cubic root of 342805296 is about 699.8675232293.

The spelling of 342805296 in words is "three hundred forty-two million, eight hundred five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 592 703 888 912 1406 1776 2109 2812 4218 5624 8436 10159 11248 16872 20318 30477 33744 40636 60954 81272 121908 162544 193021 243816 375883 386042 487632 579063 751766 772084 1127649 1158126 1503532 1544168 2255298 2316252 3007064 3088336 4510596 4632504 6014128 7141777 9021192 9265008 14283554 18042384 21425331 28567108 42850662 57134216 85701324 114268432 171402648 342805296