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3441664064 = 26234874801
BaseRepresentation
bin1100110100100011…
…1010000001000000
322212212002122112102
43031020322001000
524022031222224
61325302445532
7151200443006
oct31510720100
98785078472
103441664064
111506803173
128007338a8
1342b052c17
14249134a76
151522374ae
hexcd23a040

3441664064 has 56 divisors (see below), whose sum is σ = 7142610048. Its totient is φ = 1642291200.

The previous prime is 3441664043. The next prime is 3441664067. The reversal of 3441664064 is 4604661443.

It is not an unprimeable number, because it can be changed into a prime (3441664067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714464 + ... + 719264.

It is an arithmetic number, because the mean of its divisors is an integer number (127546608).

Almost surely, 23441664064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571305024).

3441664064 is an abundant number, since it is smaller than the sum of its proper divisors (3700945984).

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

3441664064 is a wasteful number, since it uses less digits than its factorization.

3441664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The square root of 3441664064 is about 58665.6975071464. The cubic root of 3441664064 is about 1509.8118362673.

The spelling of 3441664064 in words is "three billion, four hundred forty-one million, six hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 487 736 974 1472 1948 3896 4801 7792 9602 11201 15584 19204 22402 31168 38408 44804 76816 89608 110423 153632 179216 220846 307264 358432 441692 716864 883384 1766768 2338087 3533536 4676174 7067072 9352348 18704696 37409392 53776001 74818784 107552002 149637568 215104004 430208008 860416016 1720832032 3441664064