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338834748 = 22376189743
BaseRepresentation
bin10100001100100…
…011010100111100
3212121120120220010
4110030203110330
51143220202443
653342223220
711253022260
oct2414432474
9777516803
10338834748
1116429961a
1295584b10
1355277145
14330020a0
151eb30733
hex1432353c

338834748 has 96 divisors (see below), whose sum is σ = 929940480. Its totient is φ = 94026240.

The previous prime is 338834747. The next prime is 338834759. The reversal of 338834748 is 847438833.

It is a super-2 number, since 2×3388347482 = 229617972904447008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338834697 and 338834706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338834747) 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 31 ways as a sum of consecutive naturals, for example, 455665 + ... + 456407.

It is an arithmetic number, because the mean of its divisors is an integer number (9686880).

Almost surely, 2338834748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338834748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464970240).

338834748 is an abundant number, since it is smaller than the sum of its proper divisors (591105732).

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

338834748 is a wasteful number, since it uses less digits than its factorization.

338834748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 338834748 is about 18407.4644641787. The cubic root of 338834748 is about 697.1549475850.

The spelling of 338834748 in words is "three hundred thirty-eight million, eight hundred thirty-four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 89 122 178 183 244 267 356 366 427 534 623 732 743 854 1068 1246 1281 1486 1708 1869 2229 2492 2562 2972 3738 4458 5124 5201 5429 7476 8916 10402 10858 15603 16287 20804 21716 31206 32574 38003 45323 62412 65148 66127 76006 90646 114009 132254 135969 152012 181292 198381 228018 264508 271938 317261 396762 456036 462889 543876 634522 793524 925778 951783 1269044 1388667 1851556 1903566 2777334 3807132 4033747 5554668 8067494 12101241 16134988 24202482 28236229 48404964 56472458 84708687 112944916 169417374 338834748