Search a number
-
+
3431000214 = 233175963347
BaseRepresentation
bin1100110010000000…
…1110100010010110
322212010000212111000
43030200032202112
524011314001324
61324242124130
7151011010035
oct31440164226
98763025430
103431000214
11150078a274
127b9050646
13428a8b155
1424795a71c
1515132c9c9
hexcc80e896

3431000214 has 64 divisors (see below), whose sum is σ = 8209900800. Its totient is φ = 1058131584.

The previous prime is 3431000207. The next prime is 3431000227. The reversal of 3431000214 is 4120001343.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22489 + ... + 85835.

It is an arithmetic number, because the mean of its divisors is an integer number (128279700).

Almost surely, 23431000214 is an apocalyptic number.

3431000214 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431000214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104950400).

3431000214 is an abundant number, since it is smaller than the sum of its proper divisors (4778900586).

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

3431000214 is a wasteful number, since it uses less digits than its factorization.

3431000214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63434 (or 63428 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3431000214 is about 58574.7404091559. The cubic root of 3431000214 is about 1508.2508603224.

Adding to 3431000214 its reverse (4120001343), we get a palindrome (7551001557).

The spelling of 3431000214 in words is "three billion, four hundred thirty-one million, two hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 27 34 51 54 59 102 118 153 177 306 354 459 531 918 1003 1062 1593 2006 3009 3186 6018 9027 18054 27081 54162 63347 126694 190041 380082 570123 1076899 1140246 1710369 2153798 3230697 3420738 3737473 6461394 7474946 9692091 11212419 19384182 22424838 29076273 33637257 58152546 63537041 67274514 100911771 127074082 190611123 201823542 381222246 571833369 1143666738 1715500107 3431000214