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3335204064 = 253197092579
BaseRepresentation
bin1100011011001011…
…0010110011100000
322121102202220212110
43012302302303200
523312303012224
61310540555320
7145435524003
oct30662626340
98542686773
103335204064
1114616aa1a5
12790b52b40
13411c89c3a
14238d4153a
15147c08929
hexc6cb2ce0

3335204064 has 96 divisors (see below), whose sum is σ = 9232272000. Its totient is φ = 1051329024.

The previous prime is 3335204029. The next prime is 3335204069. The reversal of 3335204064 is 4604025333.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33352040642 = 22247172297044232192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3335204069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291927 + ... + 1294505.

It is an arithmetic number, because the mean of its divisors is an integer number (96169500).

Almost surely, 23335204064 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 3335204064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616136000).

3335204064 is an abundant number, since it is smaller than the sum of its proper divisors (5897067936).

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

3335204064 is a wasteful number, since it uses less digits than its factorization.

3335204064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 3335204064 is about 57751.2256493315. The cubic root of 3335204064 is about 1494.0809799674.

Adding to 3335204064 its reverse (4604025333), we get a palindrome (7939229397).

The spelling of 3335204064 in words is "three billion, three hundred thirty-five million, two hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 709 912 1418 1824 2127 2579 2836 4254 5158 5672 7737 8508 10316 11344 13471 15474 17016 20632 22688 26942 30948 34032 40413 41264 49001 53884 61896 68064 80826 82528 98002 107768 123792 147003 161652 196004 215536 247584 294006 323304 392008 431072 588012 646608 784016 1176024 1293216 1568032 1828511 2352048 3657022 4704096 5485533 7314044 10971066 14628088 21942132 29256176 34741709 43884264 58512352 69483418 87768528 104225127 138966836 175537056 208450254 277933672 416900508 555867344 833801016 1111734688 1667602032 3335204064