Search a number
-
+
3214020012 = 2237194149117
BaseRepresentation
bin1011111110010010…
…0000110110101100
322021222202010121020
42333210200312230
523040242120022
61250531334140
7142434501510
oct27744406654
98258663536
103214020012
1113aa259895
12758451350
133c2b3a0b8
14226bd8140
1513c26c35c
hexbf920dac

3214020012 has 96 divisors (see below), whose sum is σ = 9242042880. Its totient is φ = 848724480.

The previous prime is 3214019999. The next prime is 3214020037. The reversal of 3214020012 is 2100204123.

It is a junction number, because it is equal to n+sod(n) for n = 3214019973 and 3214020000.

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 31 ways as a sum of consecutive naturals, for example, 40878 + ... + 89994.

It is an arithmetic number, because the mean of its divisors is an integer number (96271280).

Almost surely, 23214020012 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 3214020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621021440).

3214020012 is an abundant number, since it is smaller than the sum of its proper divisors (6028022868).

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

3214020012 is a wasteful number, since it uses less digits than its factorization.

3214020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49191 (or 49189 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3214020012 is about 56692.3276290540. The cubic root of 3214020012 is about 1475.7615543752.

Adding to 3214020012 its reverse (2100204123), we get a palindrome (5314224135).

The spelling of 3214020012 in words is "three billion, two hundred fourteen million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 41 42 57 76 82 84 114 123 133 164 228 246 266 287 399 492 532 574 779 798 861 1148 1558 1596 1722 2337 3116 3444 4674 5453 9348 10906 16359 21812 32718 49117 65436 98234 147351 196468 294702 343819 589404 687638 933223 1031457 1375276 1866446 2013797 2062914 2799669 3732892 4027594 4125828 5599338 6041391 6532561 8055188 11198676 12082782 13065122 14096579 19597683 24165564 26130244 28193158 38262143 39195366 42289737 56386316 76524286 78390732 84579474 114786429 153048572 169158948 229572858 267835001 459145716 535670002 803505003 1071340004 1607010006 3214020012