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3431104220 = 2251717956377
BaseRepresentation
bin1100110010000010…
…0111111011011100
322212010020011011002
43030200213323130
524011330313340
61324244245432
7151011622205
oct31440477334
98763204132
103431104220
111500850425
127b90a0878
13428ac65ab
142479865ac
1515134d715
hexcc827edc

3431104220 has 48 divisors (see below), whose sum is σ = 7671918240. Its totient is φ = 1284470784.

The previous prime is 3431104133. The next prime is 3431104223. The reversal of 3431104220 is 224011343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3431104192 and 3431104201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431104223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32672 + ... + 89048.

It is an arithmetic number, because the mean of its divisors is an integer number (159831630).

Almost surely, 23431104220 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 3431104220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835959120).

3431104220 is an abundant number, since it is smaller than the sum of its proper divisors (4240814020).

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

3431104220 is a wasteful number, since it uses less digits than its factorization.

3431104220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56582 (or 56580 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3431104220 is about 58575.6282083257. The cubic root of 3431104220 is about 1508.2661003442.

Adding to 3431104220 its reverse (224011343), we get a palindrome (3655115563).

The spelling of 3431104220 in words is "three billion, four hundred thirty-one million, one hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 179 340 358 716 895 1790 3043 3580 6086 12172 15215 30430 56377 60860 112754 225508 281885 563770 958409 1127540 1916818 3833636 4792045 9584090 10091483 19168180 20182966 40365932 50457415 100914830 171555211 201829660 343110422 686220844 857776055 1715552110 3431104220