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3341532064 = 251343367509
BaseRepresentation
bin1100011100101011…
…1011101110100000
322121212200102020211
43013022323232200
523320413011224
61311324343504
7145543360663
oct30712735640
98555612224
103341532064
111465231552
127930a4b94
13413394310
14239b0b6da
15148558894
hexc72bbba0

3341532064 has 96 divisors (see below), whose sum is σ = 7283485440. Its totient is φ = 1499323392.

The previous prime is 3341532041. The next prime is 3341532091. The reversal of 3341532064 is 4602351433.

It is a super-2 number, since 2×33415320642 = 22331673069480200192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6564642 + ... + 6565150.

It is an arithmetic number, because the mean of its divisors is an integer number (75869640).

Almost surely, 23341532064 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 3341532064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641742720).

3341532064 is an abundant number, since it is smaller than the sum of its proper divisors (3941953376).

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

3341532064 is a wasteful number, since it uses less digits than its factorization.

3341532064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 3341532064 is about 57805.9864027940. The cubic root of 3341532064 is about 1495.0253071185.

Adding to 3341532064 its reverse (4602351433), we get a palindrome (7943883497).

The spelling of 3341532064 in words is "three billion, three hundred forty-one million, five hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 367 416 509 559 688 734 1018 1118 1376 1468 2036 2236 2936 4072 4472 4771 5872 6617 8144 8944 9542 11744 13234 15781 16288 17888 19084 21887 26468 31562 38168 43774 52936 63124 76336 87548 105872 126248 152672 175096 186803 205153 211744 252496 284531 350192 373606 410306 504992 569062 700384 747212 820612 1138124 1494424 1641224 2276248 2428439 2988848 3282448 4552496 4856878 5977696 6564896 8032529 9104992 9713756 16065058 19427512 32130116 38855024 64260232 77710048 104422877 128520464 208845754 257040928 417691508 835383016 1670766032 3341532064