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2966343424 = 28114992111
BaseRepresentation
bin1011000011001110…
…1100111100000000
321122201200212012021
42300303230330000
522033340442144
61210203011224
7133336334362
oct26063547400
97581625167
102966343424
1112924727a0
126a9509b14
1338372c0c5
14201d64d32
15125646884
hexb0cecf00

2966343424 has 72 divisors (see below), whose sum is σ = 6475392000. Its totient is φ = 1344998400.

The previous prime is 2966343377. The next prime is 2966343463. The reversal of 2966343424 is 4243436692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1404129 + ... + 1406239.

It is an arithmetic number, because the mean of its divisors is an integer number (89936000).

Almost surely, 22966343424 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 2966343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237696000).

2966343424 is an abundant number, since it is smaller than the sum of its proper divisors (3509048576).

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

2966343424 is a wasteful number, since it uses less digits than its factorization.

2966343424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2623 counting only the distinct ones).

The product of its digits is 746496, while the sum is 43.

The square root of 2966343424 is about 54464.1480609033. The cubic root of 2966343424 is about 1436.8358094458.

The spelling of 2966343424 in words is "two billion, nine hundred sixty-six million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 499 704 998 1408 1996 2111 2816 3992 4222 5489 7984 8444 10978 15968 16888 21956 23221 31936 33776 43912 46442 63872 67552 87824 92884 127744 135104 175648 185768 270208 351296 371536 540416 702592 743072 1053389 1405184 1486144 2106778 2972288 4213556 5944576 8427112 11587279 16854224 23174558 33708448 46349116 67416896 92698232 134833792 185396464 269667584 370792928 741585856 1483171712 2966343424