Search a number
-
+
338049680 = 24526316067
BaseRepresentation
bin10100001001100…
…011101010010000
3212120002200222112
4110021203222100
51143020042210
653313324452
711243242403
oct2411435220
9776080875
10338049680
11163902801
1295266728
13550609c7
1432c79d3a
151ea27d05
hex14263a90

338049680 has 40 divisors (see below), whose sum is σ = 789003072. Its totient is φ = 134697344.

The previous prime is 338049671. The next prime is 338049683. The reversal of 338049680 is 86940833.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3380496802 = 228555172296204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338049683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13007 + ... + 29073.

Almost surely, 2338049680 is an apocalyptic number.

It is an amenable number.

338049680 is an abundant number, since it is smaller than the sum of its proper divisors (450953392).

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

338049680 is a wasteful number, since it uses less digits than its factorization.

338049680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16343 (or 16337 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 338049680 is about 18386.1273790867. The cubic root of 338049680 is about 696.6161035114.

The spelling of 338049680 in words is "three hundred thirty-eight million, forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 263 526 1052 1315 2104 2630 4208 5260 10520 16067 21040 32134 64268 80335 128536 160670 257072 321340 642680 1285360 4225621 8451242 16902484 21128105 33804968 42256210 67609936 84512420 169024840 338049680