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384030392040 = 233251066751089
BaseRepresentation
bin1011001011010011111…
…11101011111011101000
31100201020201221020020100
411211221333223323220
522242443240021130
6452230544025400
736513426321141
oct5455177537350
91321221836210
10384030392040
11138959165599
1262517002260
132a2a1c66689
14148312a2ac8
159ec9907c60
hex5969febee8

384030392040 has 48 divisors (see below), whose sum is σ = 1248098775300. Its totient is φ = 102408104448.

The previous prime is 384030391993. The next prime is 384030392047. The reversal of 384030392040 is 40293030483.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 377037753156 + 6992638884 = 614034^2 + 83622^2 .

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 = 384030391986 and 384030392004.

It is not an unprimeable number, because it can be changed into a prime (384030392047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533375185 + ... + 533375904.

Almost surely, 2384030392040 is an apocalyptic number.

384030392040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384030392040 is an abundant number, since it is smaller than the sum of its proper divisors (864068383260).

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

384030392040 is a wasteful number, since it uses less digits than its factorization.

384030392040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066751106 (or 1066751099 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 384030392040 in words is "three hundred eighty-four billion, thirty million, three hundred ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1066751089 2133502178 3200253267 4267004356 5333755445 6400506534 8534008712 9600759801 10667510890 12801013068 16001266335 19201519602 21335021780 25602026136 32002532670 38403039204 42670043560 48003799005 64005065340 76806078408 96007598010 128010130680 192015196020 384030392040