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3229341696 = 211377103
BaseRepresentation
bin1100000001111011…
…1101100000000000
322100001120120000000
43000132331200000
523103202413241
61252240000000
7143011644240
oct30036754000
98301516000
103229341696
111407974239
12761600000
133c6072c99
14228c65b20
1513d796eb6
hexc07bd800

3229341696 has 384 divisors, whose sum is σ = 11175091200. Its totient is φ = 913711104.

The previous prime is 3229341683. The next prime is 3229341721. The reversal of 3229341696 is 6961439223.

3229341696 is a `hidden beast` number, since 3 + 229 + 3 + 416 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31352781 + ... + 31352883.

It is an arithmetic number, because the mean of its divisors is an integer number (29101800).

Almost surely, 23229341696 is an apocalyptic number.

3229341696 is a gapful number since it is divisible by the number (36) 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 3229341696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587545600).

3229341696 is an abundant number, since it is smaller than the sum of its proper divisors (7945749504).

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

3229341696 is an frugal number, since it uses more digits than its factorization.

3229341696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 3229341696 is about 56827.2971027129. The cubic root of 3229341696 is about 1478.1028918892.

The spelling of 3229341696 in words is "three billion, two hundred twenty-nine million, three hundred forty-one thousand, six hundred ninety-six".