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6861348 = 223613181
BaseRepresentation
bin11010001011001000100100
3110220121000000
4122023020210
53224030343
6403021300
7112214634
oct32131044
913817000
106861348
11396703a
12236a830
131563090
14ca86c4
15907ed3
hex68b224

6861348 has 84 divisors (see below), whose sum is σ = 19494748. Its totient is φ = 2099520.

The previous prime is 6861331. The next prime is 6861367. The reversal of 6861348 is 8431686.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 6441444 = 648^2 + 2538^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (27648) is a multiple of the sum of its prime factors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 37818 + ... + 37998.

Almost surely, 26861348 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 6861348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9747374).

6861348 is an abundant number, since it is smaller than the sum of its proper divisors (12633400).

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

6861348 is a wasteful number, since it uses less digits than its factorization.

6861348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6861348 is about 2619.4174924971. The cubic root of 6861348 is about 190.0216780436.

It can be divided in two parts, 68 and 61348, that added together give a palindrome (61416).

The spelling of 6861348 in words is "six million, eight hundred sixty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 181 234 243 324 351 362 468 486 543 702 724 729 972 1053 1086 1404 1458 1629 2106 2172 2353 2916 3159 3258 4212 4706 4887 6318 6516 7059 9412 9477 9774 12636 14118 14661 18954 19548 21177 28236 29322 37908 42354 43983 58644 63531 84708 87966 127062 131949 175932 190593 254124 263898 381186 527796 571779 762372 1143558 1715337 2287116 3430674 6861348