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338677848 = 2335832099
BaseRepresentation
bin10100001011111…
…101000001011000
3212121021121200000
4110023331001120
51143200142343
653335013000
711251466655
oct2413750130
9777247600
10338677848
111641a1753
129550a160
13552208c2
1432da0c2c
151eaeded3
hex142fd058

338677848 has 96 divisors (see below), whose sum is σ = 963144000. Its totient is φ = 111479328.

The previous prime is 338677813. The next prime is 338677861. The reversal of 338677848 is 848776833.

338677848 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 2×3386778482 = 229405369451822208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 338677794 and 338677803.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 160303 + ... + 162401.

It is an arithmetic number, because the mean of its divisors is an integer number (10032750).

Almost surely, 2338677848 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 338677848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481572000).

338677848 is an abundant number, since it is smaller than the sum of its proper divisors (624466152).

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

338677848 is a wasteful number, since it uses less digits than its factorization.

338677848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2187 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 338677848 is about 18403.2021126759. The cubic root of 338677848 is about 697.0473233425.

The spelling of 338677848 in words is "three hundred thirty-eight million, six hundred seventy-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 243 249 324 332 486 498 648 664 747 972 996 1494 1944 1992 2099 2241 2988 4198 4482 5976 6297 6723 8396 8964 12594 13446 16792 17928 18891 20169 25188 26892 37782 40338 50376 53784 56673 75564 80676 113346 151128 161352 170019 174217 226692 340038 348434 453384 510057 522651 680076 696868 1020114 1045302 1360152 1393736 1567953 2040228 2090604 3135906 4080456 4181208 4703859 6271812 9407718 12543624 14111577 18815436 28223154 37630872 42334731 56446308 84669462 112892616 169338924 338677848