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1238378328 = 23331117233143
BaseRepresentation
bin100100111010000…
…0010011101011000
310012022020010201000
41021310002131120
510014011101303
6322514425000
742455020305
oct11164023530
93168203630
101238378328
11586039a70
122a6892160
13169740b55
14ba6800ac
1573abbda3
hex49d02758

1238378328 has 512 divisors, whose sum is σ = 4379443200. Its totient is φ = 319334400.

The previous prime is 1238378327. The next prime is 1238378357. The reversal of 1238378328 is 8238738321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238378327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28799475 + ... + 28799517.

It is an arithmetic number, because the mean of its divisors is an integer number (8553600).

Almost surely, 21238378328 is an apocalyptic number.

1238378328 is a gapful number since it is divisible by the number (18) 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 1238378328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189721600).

1238378328 is an abundant number, since it is smaller than the sum of its proper divisors (3141064872).

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

1238378328 is a wasteful number, since it uses less digits than its factorization.

1238378328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1238378328 is about 35190.5999948850. The cubic root of 1238378328 is about 1073.8685273353.

The spelling of 1238378328 in words is "one billion, two hundred thirty-eight million, three hundred seventy-eight thousand, three hundred twenty-eight".