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338262840 = 233252340853
BaseRepresentation
bin10100001010010…
…111101100111000
3212120111112101100
4110022113230320
51143043402330
653322051400
711245121016
oct2412275470
9776445340
10338262840
11163a38973
1295349b60
1355106a36
1432cd38b6
151ea6b060
hex14297b38

338262840 has 96 divisors (see below), whose sum is σ = 1147180320. Its totient is φ = 86279424.

The previous prime is 338262809. The next prime is 338262853. The reversal of 338262840 is 48262833.

It is a super-2 number, since 2×3382628402 = 228843497849731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338262795 and 338262804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12147 + ... + 28706.

It is an arithmetic number, because the mean of its divisors is an integer number (11949795).

Almost surely, 2338262840 is an apocalyptic number.

338262840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338262840 is an abundant number, since it is smaller than the sum of its proper divisors (808917480).

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

338262840 is a wasteful number, since it uses less digits than its factorization.

338262840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40893 (or 40886 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 338262840 is about 18391.9232273300. The cubic root of 338262840 is about 696.7624917473.

The spelling of 338262840 in words is "three hundred thirty-eight million, two hundred sixty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 40853 81706 122559 163412 204265 245118 326824 367677 408530 490236 612795 735354 817060 939619 980472 1225590 1470708 1634120 1838385 1879238 2451180 2818857 2941416 3676770 3758476 4698095 4902360 5637714 7353540 7516952 8456571 9396190 11275428 14094285 14707080 16913142 18792380 22550856 28188570 33826284 37584760 42282855 56377140 67652568 84565710 112754280 169131420 338262840