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3241243296 = 25336189691
BaseRepresentation
bin1100000100110001…
…0111001010100000
322100212222012221000
43001030113022200
523114224241141
61253343032000
7143215053624
oct30114271240
98325865830
103241243296
111413663075
1276559b600
133c867c255
1422a683184
1513e8485b6
hexc13172a0

3241243296 has 192 divisors, whose sum is σ = 9730627200. Its totient is φ = 1049241600.

The previous prime is 3241243279. The next prime is 3241243309. The reversal of 3241243296 is 6923421423.

3241243296 is a `hidden beast` number, since 324 + 1 + 2 + 4 + 329 + 6 = 666.

It is a super-3 number, since 3×32412432963 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3241243296.

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, 4690311 + ... + 4691001.

It is an arithmetic number, because the mean of its divisors is an integer number (50680350).

Almost surely, 23241243296 is an apocalyptic number.

3241243296 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 3241243296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865313600).

3241243296 is an abundant number, since it is smaller than the sum of its proper divisors (6489383904).

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

3241243296 is a wasteful number, since it uses less digits than its factorization.

3241243296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3241243296 is about 56931.9180776478. The cubic root of 3241243296 is about 1479.9164939492.

The spelling of 3241243296 in words is "three billion, two hundred forty-one million, two hundred forty-three thousand, two hundred ninety-six".