Search a number
-
+
338101946 = 27135335051
BaseRepresentation
bin10100001001110…
…000011010111010
3212120012100200022
4110021300122322
51143023230241
653314410442
711243550650
oct2411603272
9776170608
10338101946
11163938aa6
1295290a22
135507b730
1432c90dd0
151ea3854b
hex142706ba

338101946 has 32 divisors (see below), whose sum is σ = 635983488. Its totient is φ = 131227200.

The previous prime is 338101943. The next prime is 338101957. The reversal of 338101946 is 649101833.

It is a super-2 number, since 2×3381019462 = 228625851777973832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (338101943) 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 15 ways as a sum of consecutive naturals, for example, 7880 + ... + 27171.

It is an arithmetic number, because the mean of its divisors is an integer number (19874484).

Almost surely, 2338101946 is an apocalyptic number.

338101946 is a deficient number, since it is larger than the sum of its proper divisors (297881542).

338101946 is a wasteful number, since it uses less digits than its factorization.

338101946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35126.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 338101946 is about 18387.5486675087. The cubic root of 338101946 is about 696.6520030287.

The spelling of 338101946 in words is "three hundred thirty-eight million, one hundred one thousand, nine hundred forty-six".

Divisors: 1 2 7 13 14 26 53 91 106 182 371 689 742 1378 4823 9646 35051 70102 245357 455663 490714 911326 1857703 3189641 3715406 6379282 13003921 24150139 26007842 48300278 169050973 338101946