Search a number
-
+
1332383744 = 2122314143
BaseRepresentation
bin100111101101010…
…1001000000000000
310102212010002220002
41033122221000000
510212042234434
6340113335132
745006034466
oct11732510000
93385102802
101332383744
1162410669a
123122674a8
13183065c63
14c8d50836
157be8a57e
hex4f6a9000

1332383744 has 52 divisors (see below), whose sum is σ = 2780484096. Its totient is φ = 637181952.

The previous prime is 1332383737. The next prime is 1332383783. The reversal of 1332383744 is 4473832331.

It is a junction number, because it is equal to n+sod(n) for n = 1332383698 and 1332383707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87137 + ... + 101279.

It is an arithmetic number, because the mean of its divisors is an integer number (53470848).

Almost surely, 21332383744 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 1332383744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390242048).

1332383744 is an abundant number, since it is smaller than the sum of its proper divisors (1448100352).

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

1332383744 is an equidigital number, since it uses as much as digits as its factorization.

1332383744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14190 (or 14168 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The square root of 1332383744 is about 36501.8320636102. The cubic root of 1332383744 is about 1100.3810646696.

The spelling of 1332383744 in words is "one billion, three hundred thirty-two million, three hundred eighty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2048 2944 4096 5888 11776 14143 23552 28286 47104 56572 94208 113144 226288 325289 452576 650578 905152 1301156 1810304 2602312 3620608 5204624 7241216 10409248 14482432 20818496 28964864 41636992 57929728 83273984 166547968 333095936 666191872 1332383744