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359440029 = 32133072137
BaseRepresentation
bin10101011011001…
…001111010011101
3221001100110000200
4111123021322131
51214004040104
655400014113
711623122054
oct2533117235
9831313020
10359440029
11174992683
12a0461339
135960cc10
1435a4739b
1521850b39
hex156c9e9d

359440029 has 12 divisors (see below), whose sum is σ = 559129116. Its totient is φ = 221193792.

The previous prime is 359440019. The next prime is 359440033. The reversal of 359440029 is 920044953.

359440029 is a `hidden beast` number, since 3 + 594 + 40 + 0 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119902500 + 239537529 = 10950^2 + 15477^2 .

It is not a de Polignac number, because 359440029 - 27 = 359439901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 359439975 and 359440002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359440019) 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 11 ways as a sum of consecutive naturals, for example, 1535952 + ... + 1536185.

It is an arithmetic number, because the mean of its divisors is an integer number (46594093).

Almost surely, 2359440029 is an apocalyptic number.

359440029 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

359440029 is a deficient number, since it is larger than the sum of its proper divisors (199689087).

359440029 is a wasteful number, since it uses less digits than its factorization.

359440029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072156 (or 3072153 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 359440029 is about 18958.9036866587. The cubic root of 359440029 is about 711.0096255826.

The spelling of 359440029 in words is "three hundred fifty-nine million, four hundred forty thousand, twenty-nine".

Divisors: 1 3 9 13 39 117 3072137 9216411 27649233 39937781 119813343 359440029