Search a number
-
+
3412721130 = 23572131071669
BaseRepresentation
bin1100101101101001…
…1111110111101010
322210211122012021220
43023122133313222
523442124034010
61322350242510
7150366436200
oct31332376752
98724565256
103412721130
1114a1434995
127b2ab6436
1342505b120
1424535d070
1514e91b970
hexcb69fdea

3412721130 has 192 divisors, whose sum is σ = 10362764160. Its totient is φ = 712889856.

The previous prime is 3412721113. The next prime is 3412721171. The reversal of 3412721130 is 311272143.

It is a happy number.

It is a super-2 number, since 2×34127211302 = 23293331022296953800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3412721130.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2043936 + ... + 2045604.

It is an arithmetic number, because the mean of its divisors is an integer number (53972730).

Almost surely, 23412721130 is an apocalyptic number.

3412721130 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 3412721130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181382080).

3412721130 is an abundant number, since it is smaller than the sum of its proper divisors (6950043030).

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

3412721130 is a wasteful number, since it uses less digits than its factorization.

3412721130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3412721130 is about 58418.4998951531. The cubic root of 3412721130 is about 1505.5676243597.

Adding to 3412721130 its reverse (311272143), we get a palindrome (3723993273).

The spelling of 3412721130 in words is "three billion, four hundred twelve million, seven hundred twenty-one thousand, one hundred thirty".