Search a number
-
+
3286372830 = 2351313960623
BaseRepresentation
bin1100001111100010…
…0001000111011110
322111000220001000020
43003320201013132
523212302412310
61302034213010
7144303464616
oct30370410736
98430801006
103286372830
111437087604
12778724166
13404b20810
1423266da46
151437b0170
hexc3e211de

3286372830 has 64 divisors (see below), whose sum is σ = 8555258880. Its totient is φ = 803120256.

The previous prime is 3286372813. The next prime is 3286372841. The reversal of 3286372830 is 382736823.

3286372830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 23899 + ... + 84521.

It is an arithmetic number, because the mean of its divisors is an integer number (133675920).

Almost surely, 23286372830 is an apocalyptic number.

3286372830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3286372830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277629440).

3286372830 is an abundant number, since it is smaller than the sum of its proper divisors (5268886050).

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

3286372830 is a wasteful number, since it uses less digits than its factorization.

3286372830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60785.

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3286372830 is about 57326.8944737110. The cubic root of 3286372830 is about 1486.7534118470.

The spelling of 3286372830 in words is "three billion, two hundred eighty-six million, three hundred seventy-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 139 195 278 390 417 695 834 1390 1807 2085 3614 4170 5421 9035 10842 18070 27105 54210 60623 121246 181869 303115 363738 606230 788099 909345 1576198 1818690 2364297 3940495 4728594 7880990 8426597 11821485 16853194 23642970 25279791 42132985 50559582 84265970 109545761 126398955 219091522 252797910 328637283 547728805 657274566 1095457610 1643186415 3286372830