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338920134 = 23723973617
BaseRepresentation
bin10100001100111…
…000001011000110
3212121201221000120
4110030320023012
51143230421014
653344122410
711253526230
oct2414701306
9777657016
10338920134
11164347793
1295606406
13552a6c77
1433025250
151eb4aba9
hex143382c6

338920134 has 64 divisors (see below), whose sum is σ = 816915456. Its totient is φ = 91643904.

The previous prime is 338920123. The next prime is 338920189. The reversal of 338920134 is 431029833.

It is a happy number.

It is a super-2 number, since 2×3389201342 = 229733714461155912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338920095 and 338920104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91894 + ... + 95510.

It is an arithmetic number, because the mean of its divisors is an integer number (12764304).

Almost surely, 2338920134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338920134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408457728).

338920134 is an abundant number, since it is smaller than the sum of its proper divisors (477995322).

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

338920134 is a wasteful number, since it uses less digits than its factorization.

338920134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 338920134 is about 18409.7836489189. The cubic root of 338920134 is about 697.2135034377.

Adding to 338920134 its reverse (431029833), we get a palindrome (769949967).

The spelling of 338920134 in words is "three hundred thirty-eight million, nine hundred twenty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 97 138 161 194 291 322 483 582 679 966 1358 2037 2231 3617 4074 4462 6693 7234 10851 13386 15617 21702 25319 31234 46851 50638 75957 83191 93702 151914 166382 249573 350849 499146 582337 701698 1052547 1164674 1747011 2105094 2455943 3494022 4911886 7367829 8069527 14735658 16139054 24208581 48417162 56486689 112973378 169460067 338920134