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3285040416 = 253719257287
BaseRepresentation
bin1100001111001101…
…1011110100100000
322110221101100021120
43003303123310200
523211432243131
61301545452240
7144256245210
oct30363336440
98427340246
103285040416
111436357539
127781a1080
134047751c8
14232404240
151435ea496
hexc3cdbd20

3285040416 has 96 divisors (see below), whose sum is σ = 10373852160. Its totient is φ = 889180416.

The previous prime is 3285040403. The next prime is 3285040433. The reversal of 3285040416 is 6140405823.

3285040416 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 (96).

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, 115876 + ... + 141411.

It is an arithmetic number, because the mean of its divisors is an integer number (108060960).

Almost surely, 23285040416 is an apocalyptic number.

It is an amenable number.

3285040416 is an abundant number, since it is smaller than the sum of its proper divisors (7088811744).

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

3285040416 is a wasteful number, since it uses less digits than its factorization.

3285040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257326 (or 257318 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3285040416 is about 57315.2721008982. The cubic root of 3285040416 is about 1486.5524568790.

The spelling of 3285040416 in words is "three billion, two hundred eighty-five million, forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 257287 514574 771861 1029148 1543722 1801009 2058296 3087444 3602018 4116592 4888453 5403027 6174888 7204036 8233184 9776906 10806054 12349776 14408072 14665359 19553812 21612108 24699552 28816144 29330718 34219171 39107624 43224216 57632288 58661436 68438342 78215248 86448432 102657513 117322872 136876684 156430496 172896864 205315026 234645744 273753368 410630052 469291488 547506736 821260104 1095013472 1642520208 3285040416