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3241251420 = 22351119436011
BaseRepresentation
bin1100000100110001…
…1001001001011100
322100212222122001220
43001030121021130
523114230021140
61253343133340
7143215116411
oct30114311134
98325878056
103241251420
111413669190
127655a4250
133c8682b64
1422a686108
1513e84abd0
hexc131925c

3241251420 has 192 divisors, whose sum is σ = 10665768960. Its totient is φ = 726969600.

The previous prime is 3241251367. The next prime is 3241251437. The reversal of 3241251420 is 241521423.

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 63 ways as a sum of consecutive naturals, for example, 536215 + ... + 542225.

It is an arithmetic number, because the mean of its divisors is an integer number (55550880).

Almost surely, 23241251420 is an apocalyptic number.

3241251420 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 3241251420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332884480).

3241251420 is an abundant number, since it is smaller than the sum of its proper divisors (7424517540).

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

3241251420 is a wasteful number, since it uses less digits than its factorization.

3241251420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3241251420 is about 56931.9894259809. The cubic root of 3241251420 is about 1479.9177303916.

Adding to 3241251420 its reverse (241521423), we get a palindrome (3482772843).

The spelling of 3241251420 in words is "three billion, two hundred forty-one million, two hundred fifty-one thousand, four hundred twenty".