Search a number
-
+
338373552 = 24311640859
BaseRepresentation
bin10100001010110…
…010101110110000
3212120201011020210
4110022302232300
51143110423202
653324304120
711246061546
oct2412625660
9776634223
10338373552
11164004070
12953a2040
135514524a
1432d21d96
151ea8dc6c
hex142b2bb0

338373552 has 40 divisors (see below), whose sum is σ = 953599680. Its totient is φ = 102537280.

The previous prime is 338373521. The next prime is 338373557. The reversal of 338373552 is 255373833.

It is a happy number.

338373552 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 2×3383735522 = 228993321386193408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 338373552.

It is not an unprimeable number, because it can be changed into a prime (338373557) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 319902 + ... + 320957.

It is an arithmetic number, because the mean of its divisors is an integer number (23839992).

Almost surely, 2338373552 is an apocalyptic number.

It is an amenable number.

338373552 is an abundant number, since it is smaller than the sum of its proper divisors (615226128).

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

338373552 is a wasteful number, since it uses less digits than its factorization.

338373552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640881 (or 640875 counting only the distinct ones).

The product of its digits is 226800, while the sum is 39.

The square root of 338373552 is about 18394.9327805241. The cubic root of 338373552 is about 696.8384992632.

The spelling of 338373552 in words is "three hundred thirty-eight million, three hundred seventy-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 640859 1281718 1922577 2563436 3845154 5126872 7049449 7690308 10253744 14098898 15380616 21148347 28197796 30761232 42296694 56395592 84593388 112791184 169186776 338373552