Search a number
-
+
3421320000 = 2635474073
BaseRepresentation
bin1100101111101101…
…0011001101000000
322211102211001201120
43023323103031000
524001324220000
61323254432240
7150532511610
oct31373231500
98742731646
103421320000
1114a627839a
127b5962680
13426a7c007
1424655aa40
151505696a0
hexcbed3340

3421320000 has 280 divisors, whose sum is σ = 12930810816. Its totient is φ = 781824000.

The previous prime is 3421319999. The next prime is 3421320011. The reversal of 3421320000 is 231243.

3421320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 837964 + ... + 842036.

Almost surely, 23421320000 is an apocalyptic number.

3421320000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465405408).

3421320000 is an abundant number, since it is smaller than the sum of its proper divisors (9509490816).

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

3421320000 is an equidigital number, since it uses as much as digits as its factorization.

3421320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4115 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3421320000 is about 58492.0507419598. The cubic root of 3421320000 is about 1506.8310660230.

Adding to 3421320000 its reverse (231243), we get a palindrome (3421551243).

The spelling of 3421320000 in words is "three billion, four hundred twenty-one million, three hundred twenty thousand".