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338050401 = 31379109721
BaseRepresentation
bin10100001001100…
…011110101100001
3212120002201222020
4110021203311201
51143020103101
653313332053
711243244453
oct2411436541
9776081866
10338050401
111639032a7
1295267029
1355061130
1432c7a2d3
151ea28136
hex14263d61

338050401 has 16 divisors (see below), whose sum is σ = 491554560. Its totient is φ = 205395840.

The previous prime is 338050399. The next prime is 338050439. The reversal of 338050401 is 104050833.

It is not a de Polignac number, because 338050401 - 21 = 338050399 is a prime.

It is a super-2 number, since 2×3380504012 = 228556147232521602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338050441) 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, 51780 + ... + 57941.

It is an arithmetic number, because the mean of its divisors is an integer number (30722160).

Almost surely, 2338050401 is an apocalyptic number.

It is an amenable number.

338050401 is a deficient number, since it is larger than the sum of its proper divisors (153504159).

338050401 is a wasteful number, since it uses less digits than its factorization.

338050401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109816.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 338050401 is about 18386.1469862503. The cubic root of 338050401 is about 696.6165987639.

The spelling of 338050401 in words is "three hundred thirty-eight million, fifty thousand, four hundred one".

Divisors: 1 3 13 39 79 237 1027 3081 109721 329163 1426373 4279119 8667959 26003877 112683467 338050401