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1005430361 = 13719071201
BaseRepresentation
bin111011111011011…
…010011001011001
32121001220011011112
4323323122121121
54024342232421
6243433510105
733626005565
oct7373323131
92531804145
101005430361
114765a2791
12240872335
131303bbb10
14977626a5
155d40545b
hex3beda659

1005430361 has 16 divisors (see below), whose sum is σ = 1100147328. Its totient is φ = 913248000.

The previous prime is 1005430351. The next prime is 1005430373. The reversal of 1005430361 is 1630345001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005430361 - 26 = 1005430297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005430301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836561 + ... + 837761.

It is an arithmetic number, because the mean of its divisors is an integer number (68759208).

Almost surely, 21005430361 is an apocalyptic number.

It is an amenable number.

1005430361 is a deficient number, since it is larger than the sum of its proper divisors (94716967).

1005430361 is a wasteful number, since it uses less digits than its factorization.

1005430361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1005430361 is about 31708.5218986947. The cubic root of 1005430361 is about 1001.8068536469.

Adding to 1005430361 its reverse (1630345001), we get a palindrome (2635775362).

The spelling of 1005430361 in words is "one billion, five million, four hundred thirty thousand, three hundred sixty-one".

Divisors: 1 13 71 907 923 1201 11791 15613 64397 85271 837161 1089307 1108523 14160991 77340797 1005430361