Search a number
-
+
338998368 = 2533531233
BaseRepresentation
bin10100001101001…
…011010001100000
3212121212220100010
4110031023101200
51143240421433
653345524520
711254303302
oct2415132140
9777786303
10338998368
111643a0545
1295643740
1355303767
1433045972
151eb63e63
hex1434b460

338998368 has 24 divisors (see below), whose sum is σ = 889870968. Its totient is φ = 112999424.

The previous prime is 338998367. The next prime is 338998391. The reversal of 338998368 is 863899833.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3389983682 = 229839787013326848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338998367) 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 3 ways as a sum of consecutive naturals, for example, 1765521 + ... + 1765712.

It is an arithmetic number, because the mean of its divisors is an integer number (37077957).

Almost surely, 2338998368 is an apocalyptic number.

It is an amenable number.

338998368 is an abundant number, since it is smaller than the sum of its proper divisors (550872600).

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

338998368 is a wasteful number, since it uses less digits than its factorization.

338998368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531246 (or 3531238 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 57.

The square root of 338998368 is about 18411.9083204322. The cubic root of 338998368 is about 697.2671459720.

The spelling of 338998368 in words is "three hundred thirty-eight million, nine hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3531233 7062466 10593699 14124932 21187398 28249864 42374796 56499728 84749592 112999456 169499184 338998368