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1338483424 = 251913716069
BaseRepresentation
bin100111111000111…
…1010001011100000
310110021121000002011
41033301322023200
510220122432144
6340452202304
745111631015
oct11761721340
93407530064
101338483424
116275a2453
12314309394
131843c0435
14c9a9b70c
157c792a34
hex4fc7a2e0

1338483424 has 48 divisors (see below), whose sum is σ = 2794251600. Its totient is φ = 629351424.

The previous prime is 1338483407. The next prime is 1338483431. The reversal of 1338483424 is 4243848331.

It is a happy number.

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, 75262 + ... + 91330.

It is an arithmetic number, because the mean of its divisors is an integer number (58213575).

Almost surely, 21338483424 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 1338483424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397125800).

1338483424 is an abundant number, since it is smaller than the sum of its proper divisors (1455768176).

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

1338483424 is a wasteful number, since it uses less digits than its factorization.

1338483424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16235 (or 16227 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The square root of 1338483424 is about 36585.2897214167. The cubic root of 1338483424 is about 1102.0576977113.

The spelling of 1338483424 in words is "one billion, three hundred thirty-eight million, four hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 137 152 274 304 548 608 1096 2192 2603 4384 5206 10412 16069 20824 32138 41648 64276 83296 128552 257104 305311 514208 610622 1221244 2201453 2442488 4402906 4884976 8805812 9769952 17611624 35223248 41827607 70446496 83655214 167310428 334620856 669241712 1338483424