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412434045 = 33519236991
BaseRepresentation
bin11000100101010…
…011111001111101
31001202001211011000
4120211103321331
51321040342140
6104531520513
713135426422
oct3045237175
91052054130
10412434045
111a1898891
12b6159139
13675a601a
143cabdd49
152631ca30
hex18953e7d

412434045 has 64 divisors (see below), whose sum is σ = 805478400. Its totient is φ = 199298880.

The previous prime is 412434031. The next prime is 412434049. The reversal of 412434045 is 540434214.

It is a happy number.

It is not a de Polignac number, because 412434045 - 218 = 412171901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412434049) 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 63 ways as a sum of consecutive naturals, for example, 55500 + ... + 62490.

It is an arithmetic number, because the mean of its divisors is an integer number (12585600).

Almost surely, 2412434045 is an apocalyptic number.

412434045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412434045 is a deficient number, since it is larger than the sum of its proper divisors (393044355).

412434045 is a wasteful number, since it uses less digits than its factorization.

412434045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 412434045 is about 20308.4722468235. The cubic root of 412434045 is about 744.3630999500.

Adding to 412434045 its reverse (540434214), we get a palindrome (952868259).

The spelling of 412434045 in words is "four hundred twelve million, four hundred thirty-four thousand, forty-five".

Divisors: 1 3 5 9 15 19 23 27 45 57 69 95 115 135 171 207 285 345 437 513 621 855 1035 1311 2185 2565 3105 3933 6555 6991 11799 19665 20973 34955 58995 62919 104865 132829 160793 188757 314595 398487 482379 664145 803965 943785 1195461 1447137 1992435 2411895 3055067 3586383 4341411 5977305 7235685 9165201 15275335 17931915 21707055 27495603 45826005 82486809 137478015 412434045