Search a number
-
+
394332836352 = 29371319148483
BaseRepresentation
bin1011011110100000001…
…00011001001000000000
31101200211201210121221220
411233100010121020000
522430043201230402
6501053133115040
740326635543010
oct5572004311000
91350751717856
10394332836352
11142265673484
1264511328a80
132b2544c9380
141512b673c40
15a3ce108dbc
hex5bd0119200

394332836352 has 320 divisors, whose sum is σ = 1361016222720. Its totient is φ = 98525528064.

The previous prime is 394332836351. The next prime is 394332836353. The reversal of 394332836352 is 253638233493.

It is an interprime number because it is at equal distance from previous prime (394332836351) and next prime (394332836353).

It is a junction number, because it is equal to n+sod(n) for n = 394332836295 and 394332836304.

It is not an unprimeable number, because it can be changed into a prime (394332836351) 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 31 ways as a sum of consecutive naturals, for example, 2581503 + ... + 2729985.

It is an arithmetic number, because the mean of its divisors is an integer number (4253175696).

Almost surely, 2394332836352 is an apocalyptic number.

394332836352 is a gapful number since it is divisible by the number (32) 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 394332836352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680508111360).

394332836352 is an abundant number, since it is smaller than the sum of its proper divisors (966683386368).

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

394332836352 is a wasteful number, since it uses less digits than its factorization.

394332836352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148543 (or 148527 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 51.

The spelling of 394332836352 in words is "three hundred ninety-four billion, three hundred thirty-two million, eight hundred thirty-six thousand, three hundred fifty-two".