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354240304140 = 22356618931929
BaseRepresentation
bin1010010011110100101…
…11100001010000001100
31020212100121121222010110
411021322113201100030
521300441004213030
6430422531040020
734410255622002
oct5117227412014
91225317558113
10354240304140
11127261464638
12587a2440010
1327535219428
1413206a9aa72
1593344451b0
hex527a5e140c

354240304140 has 48 divisors (see below), whose sum is σ = 993373526880. Its totient is φ = 94321159680.

The previous prime is 354240304139. The next prime is 354240304141. The reversal of 354240304140 is 41403042453.

It is an interprime number because it is at equal distance from previous prime (354240304139) and next prime (354240304141).

It is a super-3 number, since 3×3542403041403 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 354240304098 and 354240304107.

It is not an unprimeable number, because it can be changed into a prime (354240304141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4426305 + ... + 4505624.

It is an arithmetic number, because the mean of its divisors is an integer number (20695281810).

Almost surely, 2354240304140 is an apocalyptic number.

354240304140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354240304140 is an abundant number, since it is smaller than the sum of its proper divisors (639133222740).

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

354240304140 is a wasteful number, since it uses less digits than its factorization.

354240304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8932602 (or 8932600 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 354240304140 its reverse (41403042453), we get a palindrome (395643346593).

The spelling of 354240304140 in words is "three hundred fifty-four billion, two hundred forty million, three hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 661 1322 1983 2644 3305 3966 6610 7932 9915 13220 19830 39660 8931929 17863858 26795787 35727716 44659645 53591574 89319290 107183148 133978935 178638580 267957870 535915740 5904005069 11808010138 17712015207 23616020276 29520025345 35424030414 59040050690 70848060828 88560076035 118080101380 177120152070 354240304140