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3241437696 = 29337194143
BaseRepresentation
bin1100000100110100…
…0110101000000000
322100220100002121000
43001031012220000
523114302001241
61253351132000
7143216523450
oct30115065000
98326302530
103241437696
111413786132
12765674000
133c8719893
1422a6d3d60
1513e885eb6
hexc1346a00

3241437696 has 640 divisors, whose sum is σ = 12099225600. Its totient is φ = 836075520.

The previous prime is 3241437671. The next prime is 3241437713. The reversal of 3241437696 is 6967341423.

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 63 ways as a sum of consecutive naturals, for example, 75382251 + ... + 75382293.

It is an arithmetic number, because the mean of its divisors is an integer number (18905040).

Almost surely, 23241437696 is an apocalyptic number.

3241437696 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 3241437696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049612800).

3241437696 is an abundant number, since it is smaller than the sum of its proper divisors (8857787904).

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

3241437696 is a wasteful number, since it uses less digits than its factorization.

3241437696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3241437696 is about 56933.6253544423. The cubic root of 3241437696 is about 1479.9460803341.

The spelling of 3241437696 in words is "three billion, two hundred forty-one million, four hundred thirty-seven thousand, six hundred ninety-six".