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3261420000 = 25325418119
BaseRepresentation
bin1100001001100101…
…0101000111100000
322102021221022011100
43002121111013200
523134410420000
61255343314400
7143551420056
oct30231250740
98367838140
103261420000
111423a94133
127702aba00
133cc8c4c27
1422d2161d6
151414d1a00
hexc26551e0

3261420000 has 180 divisors, whose sum is σ = 11590258680. Its totient is φ = 869664000.

The previous prime is 3261419933. The next prime is 3261420023. The reversal of 3261420000 is 241623.

It is a happy number.

3261420000 is a `hidden beast` number, since 32 + 614 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

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 29 ways as a sum of consecutive naturals, for example, 170941 + ... + 189059.

It is an arithmetic number, because the mean of its divisors is an integer number (64390326).

Almost surely, 23261420000 is an apocalyptic number.

3261420000 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 3261420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795129340).

3261420000 is an abundant number, since it is smaller than the sum of its proper divisors (8328838680).

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

3261420000 is a wasteful number, since it uses less digits than its factorization.

3261420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18155 (or 18129 counting only the distinct ones).

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

The square root of 3261420000 is about 57108.8434482787. The cubic root of 3261420000 is about 1482.9809652708.

Adding to 3261420000 its reverse (241623), we get a palindrome (3261661623).

The spelling of 3261420000 in words is "three billion, two hundred sixty-one million, four hundred twenty thousand".