Search a number
-
+
338204814 = 2360379337
BaseRepresentation
bin10100001010001…
…001100010001110
3212120101120210020
4110022021202032
51143040023224
653320523010
711244456603
oct2412114216
9776346706
10338204814
111639a9312
1295320466
13550b64bc
1432cba6aa
151ea58c79
hex1428988e

338204814 has 16 divisors (see below), whose sum is σ = 676594128. Its totient is φ = 112704192.

The previous prime is 338204791. The next prime is 338204821. The reversal of 338204814 is 418402833.

338204814 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3382048142 = 228764992425549192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 31554 + ... + 40890.

It is an arithmetic number, because the mean of its divisors is an integer number (42287133).

Almost surely, 2338204814 is an apocalyptic number.

338204814 is an abundant number, since it is smaller than the sum of its proper divisors (338389314).

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

338204814 is a wasteful number, since it uses less digits than its factorization.

338204814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15379.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 338204814 is about 18390.3456737496. The cubic root of 338204814 is about 696.7226483202.

The spelling of 338204814 in words is "three hundred thirty-eight million, two hundred four thousand, eight hundred fourteen".

Divisors: 1 2 3 6 6037 9337 12074 18111 18674 28011 36222 56022 56367469 112734938 169102407 338204814