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3323912064 = 273115931327
BaseRepresentation
bin1100011000011110…
…1101111110000000
322120122112020011020
43012013231332000
523301410141224
61305454545440
7145240533504
oct30607557600
98518466136
103323912064
111456297370
12789208280
1340c835295
14237642304
15146c27c79
hexc61edf80

3323912064 has 128 divisors (see below), whose sum is σ = 9655303680. Its totient is φ = 1004789760.

The previous prime is 3323912047. The next prime is 3323912077. The reversal of 3323912064 is 4602193233.

3323912064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33239120642 = 22096782818409480192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2504169 + ... + 2505495.

It is an arithmetic number, because the mean of its divisors is an integer number (75432060).

Almost surely, 23323912064 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 3323912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827651840).

3323912064 is an abundant number, since it is smaller than the sum of its proper divisors (6331391616).

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

3323912064 is a wasteful number, since it uses less digits than its factorization.

3323912064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3323912064 is about 57653.3786000439. The cubic root of 3323912064 is about 1492.3929034932.

The spelling of 3323912064 in words is "three billion, three hundred twenty-three million, nine hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 593 704 1056 1186 1327 1408 1779 2112 2372 2654 3558 3981 4224 4744 5308 6523 7116 7962 9488 10616 13046 14232 14597 15924 18976 19569 21232 26092 28464 29194 31848 37952 39138 42464 43791 52184 56928 58388 63696 75904 78276 84928 87582 104368 113856 116776 127392 156552 169856 175164 208736 227712 233552 254784 313104 350328 417472 467104 509568 626208 700656 786911 834944 934208 1252416 1401312 1573822 1868416 2360733 2504832 2802624 3147644 4721466 5605248 6295288 8656021 9442932 12590576 17312042 18885864 25181152 25968063 34624084 37771728 50362304 51936126 69248168 75543456 100724608 103872252 138496336 151086912 207744504 276992672 302173824 415489008 553985344 830978016 1107970688 1661956032 3323912064