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234298368 = 2103225423
BaseRepresentation
bin11011111011100…
…01110000000000
3121022212120221100
431331301300000
5434440021433
635125454400
75543334423
oct1575616000
9538776840
10234298368
11110289917
1266571400
13397058b5
142318d9ba
1515881b13
hexdf71c00

234298368 has 66 divisors (see below), whose sum is σ = 676558064. Its totient is φ = 78096384.

The previous prime is 234298343. The next prime is 234298387. The reversal of 234298368 is 863892432.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3496 + ... + 21927.

Almost surely, 2234298368 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 234298368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338279032).

234298368 is an abundant number, since it is smaller than the sum of its proper divisors (442259696).

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

234298368 is a wasteful number, since it uses less digits than its factorization.

234298368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25449 (or 25428 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 234298368 is about 15306.8078971417. The cubic root of 234298368 is about 616.4858145417.

The spelling of 234298368 in words is "two hundred thirty-four million, two hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 25423 50846 76269 101692 152538 203384 228807 305076 406768 457614 610152 813536 915228 1220304 1627072 1830456 2440608 3254144 3660912 4881216 6508288 7321824 9762432 13016576 14643648 19524864 26033152 29287296 39049728 58574592 78099456 117149184 234298368