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3330132064 = 25737339857
BaseRepresentation
bin1100011001111101…
…1100100001100000
322121002020020101121
43012133130201200
523310003211224
61310240142024
7145344440560
oct30637344140
98532206347
103330132064
111459855566
1278b307914
13410c0245c
142383c0da0
15147555be4
hexc67dc860

3330132064 has 48 divisors (see below), whose sum is σ = 7513073568. Its totient is φ = 1423337472.

The previous prime is 3330132017. The next prime is 3330132067. The reversal of 3330132064 is 4602310333.

It is a super-2 number, since 2×33301320642 = 22179559127361800192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330132067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63624 + ... + 103480.

It is an arithmetic number, because the mean of its divisors is an integer number (156522366).

Almost surely, 23330132064 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 3330132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756536784).

3330132064 is an abundant number, since it is smaller than the sum of its proper divisors (4182941504).

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

3330132064 is a wasteful number, since it uses less digits than its factorization.

3330132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40247 (or 40239 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 3330132064 is about 57707.2964537414. The cubic root of 3330132064 is about 1493.3232228978.

Adding to 3330132064 its reverse (4602310333), we get a palindrome (7932442397).

The spelling of 3330132064 in words is "three billion, three hundred thirty million, one hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 373 746 1492 2611 2984 5222 5968 10444 11936 20888 39857 41776 79714 83552 159428 278999 318856 557998 637712 1115996 1275424 2231992 4463984 8927968 14866661 29733322 59466644 104066627 118933288 208133254 237866576 416266508 475733152 832533016 1665066032 3330132064