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3252824064 = 211327171483
BaseRepresentation
bin1100000111100010…
…0010100000000000
322101200202120202100
43001320202200000
523130210332224
61254435150400
7143415356040
oct30170424000
98350676670
103252824064
11141a152956
12769445400
133caba5489
1422c019720
15140884ac9
hexc1e22800

3252824064 has 288 divisors, whose sum is σ = 11376106560. Its totient is φ = 874119168.

The previous prime is 3252824051. The next prime is 3252824077. The reversal of 3252824064 is 4604282523.

3252824064 is a `hidden beast` number, since 32 + 528 + 2 + 40 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (3252824051) and next prime (3252824077).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2192667 + ... + 2194149.

It is an arithmetic number, because the mean of its divisors is an integer number (39500370).

Almost surely, 23252824064 is an apocalyptic number.

3252824064 is a gapful number since it is divisible by the number (34) 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 3252824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688053280).

3252824064 is an abundant number, since it is smaller than the sum of its proper divisors (8123282496).

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

3252824064 is a wasteful number, since it uses less digits than its factorization.

3252824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3252824064 is about 57033.5345564344. The cubic root of 3252824064 is about 1481.6769499162.

The spelling of 3252824064 in words is "three billion, two hundred fifty-two million, eight hundred twenty-four thousand, sixty-four".