Search a number
-
+
3140323020 = 22355646157
BaseRepresentation
bin1011101100101101…
…1000011011001100
322002212001221100000
42323023120123030
522412410314040
61235340004300
7140551206462
oct27313303314
98085057300
103140323020
1113716a318a
12737830690
133b07a5903
1421b0d2832
15135a61130
hexbb2d86cc

3140323020 has 72 divisors (see below), whose sum is σ = 9878463504. Its totient is φ = 837418176.

The previous prime is 3140323003. The next prime is 3140323037. The reversal of 3140323020 is 203230413.

3140323020 is a `hidden beast` number, since 31 + 403 + 230 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3140323003) and next prime (3140323037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3140322984 and 3140323002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318219 + ... + 327938.

It is an arithmetic number, because the mean of its divisors is an integer number (137200882).

Almost surely, 23140323020 is an apocalyptic number.

3140323020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3140323020 is an abundant number, since it is smaller than the sum of its proper divisors (6738140484).

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

3140323020 is a wasteful number, since it uses less digits than its factorization.

3140323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646181 (or 646167 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3140323020 is about 56038.5850999113. The cubic root of 3140323020 is about 1464.3945624238.

Adding to 3140323020 its reverse (203230413), we get a palindrome (3343553433).

The spelling of 3140323020 in words is "three billion, one hundred forty million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 646157 1292314 1938471 2584628 3230785 3876942 5815413 6461570 7753884 9692355 11630826 12923140 17446239 19384710 23261652 29077065 34892478 38769420 52338717 58154130 69784956 87231195 104677434 116308260 157016151 174462390 209354868 261693585 314032302 348924780 523387170 628064604 785080755 1046774340 1570161510 3140323020