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3290749488 = 2432136726237
BaseRepresentation
bin1100010000100100…
…1101101000110000
322111100010101122200
43010021031220300
523214412440423
61302312103200
7144355623555
oct30411155060
98440111580
103290749488
1114395a6884
1277a094b00
134059c3960
1423308ca2c
15143d76d43
hexc424da30

3290749488 has 120 divisors (see below), whose sum is σ = 10066366128. Its totient is φ = 997387776.

The previous prime is 3290749481. The next prime is 3290749499. The reversal of 3290749488 is 8849470923.

3290749488 is a `hidden beast` number, since 3 + 2 + 90 + 74 + 9 + 488 = 666.

It is not an unprimeable number, because it can be changed into a prime (3290749481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112306 + ... + 138542.

Almost surely, 23290749488 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 3290749488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033183064).

3290749488 is an abundant number, since it is smaller than the sum of its proper divisors (6775616640).

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

3290749488 is a wasteful number, since it uses less digits than its factorization.

3290749488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26331 (or 26322 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3290749488 is about 57365.0545890092. The cubic root of 3290749488 is about 1487.4131183679.

The spelling of 3290749488 in words is "three billion, two hundred ninety million, seven hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 67 72 78 104 117 134 144 156 201 208 234 268 312 402 468 536 603 624 804 871 936 1072 1206 1608 1742 1872 2412 2613 3216 3484 4824 5226 6968 7839 9648 10452 13936 15678 20904 26237 31356 41808 52474 62712 78711 104948 125424 157422 209896 236133 314844 341081 419792 472266 629688 682162 944532 1023243 1259376 1364324 1757879 1889064 2046486 2728648 3069729 3515758 3778128 4092972 5273637 5457296 6139458 7031516 8185944 10547274 12278916 14063032 15820911 16371888 21094548 22852427 24557832 28126064 31641822 42189096 45704854 49115664 63283644 68557281 84378192 91409708 126567288 137114562 182819416 205671843 253134576 274229124 365638832 411343686 548458248 822687372 1096916496 1645374744 3290749488