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3290265920 = 26523895023
BaseRepresentation
bin1100010000011101…
…0111100101000000
322111022012211022202
43010013113211000
523214302002140
61302253452332
7144351541004
oct30407274500
98438184282
103290265920
1114392a6537
12779aa10a8
13405884816
14232da4704
15143ccd915
hexc41d7940

3290265920 has 112 divisors (see below), whose sum is σ = 8269102080. Its totient is φ = 1244491776.

The previous prime is 3290265919. The next prime is 3290265931. The reversal of 3290265920 is 295620923.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652529 + ... + 657551.

Almost surely, 23290265920 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 3290265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134551040).

3290265920 is an abundant number, since it is smaller than the sum of its proper divisors (4978836160).

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

3290265920 is a wasteful number, since it uses less digits than its factorization.

3290265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 3290265920 is about 57360.8396033391. The cubic root of 3290265920 is about 1487.3402574969.

The spelling of 3290265920 in words is "three billion, two hundred ninety million, two hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 89 92 115 160 178 184 230 320 356 368 445 460 712 736 890 920 1424 1472 1780 1840 2047 2848 3560 3680 4094 5023 5696 7120 7360 8188 10046 10235 14240 16376 20092 20470 25115 28480 32752 40184 40940 50230 65504 80368 81880 100460 115529 131008 160736 163760 200920 231058 321472 327520 401840 447047 462116 577645 655040 803680 894094 924232 1155290 1607360 1788188 1848464 2235235 2310580 3576376 3696928 4470470 4621160 7152752 7393856 8940940 9242320 10282081 14305504 17881880 18484640 20564162 28611008 35763760 36969280 41128324 51410405 71527520 82256648 102820810 143055040 164513296 205641620 329026592 411283240 658053184 822566480 1645132960 3290265920