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3241403340 = 2235723347967
BaseRepresentation
bin1100000100110011…
…1110001111001100
322100220021100110120
43001030332033030
523114244401330
61253350304540
7143216321340
oct30114761714
98326240416
103241403340
11141376233a
12765658150
133c8707056
1422a6c5620
1513e87ac10
hexc133e3cc

3241403340 has 192 divisors, whose sum is σ = 10865885184. Its totient is φ = 705906432.

The previous prime is 3241403329. The next prime is 3241403351. The reversal of 3241403340 is 433041423.

3241403340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3241403329) and next prime (3241403351).

It is a super-2 number, since 2×32414033402 = 21013391225126311200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3241403340.

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, 3351537 + ... + 3352503.

It is an arithmetic number, because the mean of its divisors is an integer number (56593152).

Almost surely, 23241403340 is an apocalyptic number.

3241403340 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 3241403340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432942592).

3241403340 is an abundant number, since it is smaller than the sum of its proper divisors (7624481844).

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

3241403340 is a wasteful number, since it uses less digits than its factorization.

3241403340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3241403340 is about 56933.3236338790. The cubic root of 3241403340 is about 1479.9408516659.

Adding to 3241403340 its reverse (433041423), we get a palindrome (3674444763).

The spelling of 3241403340 in words is "three billion, two hundred forty-one million, four hundred three thousand, three hundred forty".