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378331050240 = 283351113372069
BaseRepresentation
bin1011000000101100100…
…10011011000100000000
31100011112112121200002000
411200112102123010000
522144310222101430
6445445231224000
736222252603243
oct5402622330400
91304475550060
10378331050240
111364a4018760
12613a6378000
13298a4269190
141445039925a
159c943ade60
hex581649b100

378331050240 has 1152 divisors, whose sum is σ = 1620672883200. Its totient is φ = 82333532160.

The previous prime is 378331050221. The next prime is 378331050247. The reversal of 378331050240 is 42050133873.

378331050240 is a `hidden beast` number, since 3 + 7 + 83 + 31 + 0 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 378331050195 and 378331050204.

It is not an unprimeable number, because it can be changed into a prime (378331050247) 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, 182855926 + ... + 182857994.

It is an arithmetic number, because the mean of its divisors is an integer number (1406834100).

Almost surely, 2378331050240 is an apocalyptic number.

378331050240 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 378331050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810336441600).

378331050240 is an abundant number, since it is smaller than the sum of its proper divisors (1242341832960).

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

378331050240 is a wasteful number, since it uses less digits than its factorization.

378331050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 378331050240 in words is "three hundred seventy-eight billion, three hundred thirty-one million, fifty thousand, two hundred forty".