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3288750948 = 2232716098111
BaseRepresentation
bin1100010000000110…
…0101101101100100
322111012100212011200
43010001211231210
523213410012243
61302201202500
7144332631120
oct30401455544
98435325150
103288750948
11143846129a
12779490430
134054740a2
14232acc580
15143acead3
hexc4065b64

3288750948 has 72 divisors (see below), whose sum is σ = 9507912960. Its totient is φ = 938943360.

The previous prime is 3288750947. The next prime is 3288750967. The reversal of 3288750948 is 8490578823.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3288750894 and 3288750903.

It is not an unprimeable number, because it can be changed into a prime (3288750947) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 401413 + ... + 409523.

Almost surely, 23288750948 is an apocalyptic number.

It is an amenable number.

3288750948 is an abundant number, since it is smaller than the sum of its proper divisors (6219162012).

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

3288750948 is a wasteful number, since it uses less digits than its factorization.

3288750948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9737 (or 9732 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 3288750948 is about 57347.6324533106. The cubic root of 3288750948 is about 1487.1119451739. Note that the first 3 decimals are identical.

The spelling of 3288750948 in words is "three billion, two hundred eighty-eight million, seven hundred fifty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1609 3218 4827 6436 8111 9654 11263 14481 16222 19308 22526 24333 28962 32444 33789 45052 48666 56777 57924 67578 72999 97332 101367 113554 135156 145998 170331 202734 227108 291996 340662 405468 510993 681324 1021986 2043972 13050599 26101198 39151797 52202396 78303594 91354193 117455391 156607188 182708386 234910782 274062579 365416772 469821564 548125158 822187737 1096250316 1644375474 3288750948