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412328097 = 3361793169
BaseRepresentation
bin11000100100111…
…010000010100001
31001201212102211000
4120210322002201
51321023444342
6104525342213
713134505506
oct3044720241
91051772730
10412328097
111a1826225
12b6107969
1367569a2c
143ca934ad
15262eb44c
hex1893a0a1

412328097 has 32 divisors (see below), whose sum is σ = 628928000. Its totient is φ = 266872320.

The previous prime is 412328093. The next prime is 412328113. The reversal of 412328097 is 790823214.

It is not a de Polignac number, because 412328097 - 22 = 412328093 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412328093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128529 + ... + 131697.

It is an arithmetic number, because the mean of its divisors is an integer number (19654000).

Almost surely, 2412328097 is an apocalyptic number.

It is an amenable number.

412328097 is a deficient number, since it is larger than the sum of its proper divisors (216599903).

412328097 is a wasteful number, since it uses less digits than its factorization.

412328097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 412328097 is about 20305.8636112823. The cubic root of 412328097 is about 744.2993559917.

It can be divided in two parts, 412 and 328097, that added together give a cube (328509 = 693).

The spelling of 412328097 in words is "four hundred twelve million, three hundred twenty-eight thousand, ninety-seven".

Divisors: 1 3 9 27 61 79 183 237 549 711 1647 2133 3169 4819 9507 14457 28521 43371 85563 130113 193309 250351 579927 751053 1739781 2253159 5219343 6759477 15271411 45814233 137442699 412328097