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3292223340 = 2235713956393
BaseRepresentation
bin1100010000111011…
…0101011101101100
322111102220021101210
43010032311131230
523220302121330
61302403434420
7144404302530
oct30416653554
98442807353
103292223340
11143a41313a
1277a685a10
134060bb763
14233353bc0
151440688b0
hexc43b576c

3292223340 has 96 divisors (see below), whose sum is σ = 10611095040. Its totient is φ = 747081216.

The previous prime is 3292223329. The next prime is 3292223357. The reversal of 3292223340 is 433222923.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3292223298 and 3292223307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30184 + ... + 86576.

It is an arithmetic number, because the mean of its divisors is an integer number (110532240).

Almost surely, 23292223340 is an apocalyptic number.

3292223340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3292223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305547520).

3292223340 is an abundant number, since it is smaller than the sum of its proper divisors (7318871700).

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

3292223340 is a wasteful number, since it uses less digits than its factorization.

3292223340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56551 (or 56549 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3292223340 is about 57377.8994038646. The cubic root of 3292223340 is about 1487.6351447488.

The spelling of 3292223340 in words is "three billion, two hundred ninety-two million, two hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 210 278 417 420 556 695 834 973 1390 1668 1946 2085 2780 2919 3892 4170 4865 5838 8340 9730 11676 14595 19460 29190 56393 58380 112786 169179 225572 281965 338358 394751 563930 676716 789502 845895 1127860 1184253 1579004 1691790 1973755 2368506 3383580 3947510 4737012 5921265 7838627 7895020 11842530 15677254 23515881 23685060 31354508 39193135 47031762 54870389 78386270 94063524 109740778 117579405 156772540 164611167 219481556 235158810 274351945 329222334 470317620 548703890 658444668 823055835 1097407780 1646111670 3292223340