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1006303312 = 24783910709
BaseRepresentation
bin111011111110101…
…111100001010000
32121010112111122001
4323332233201100
54030103201222
6243504323344
733636302620
oct7376574120
92533474561
101006303312
11477039633
12241013554
13130636261
149790c880
155d528e27
hex3bfaf850

1006303312 has 40 divisors (see below), whose sum is σ = 2231107200. Its totient is φ = 430718592.

The previous prime is 1006303301. The next prime is 1006303313. The reversal of 1006303312 is 2133036001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006303312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006303313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88614 + ... + 99322.

It is an arithmetic number, because the mean of its divisors is an integer number (55777680).

Almost surely, 21006303312 is an apocalyptic number.

It is an amenable number.

1006303312 is an abundant number, since it is smaller than the sum of its proper divisors (1224803888).

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

1006303312 is a wasteful number, since it uses less digits than its factorization.

1006303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11563 (or 11557 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1006303312 is about 31722.2841548335. The cubic root of 1006303312 is about 1002.0967047567.

Adding to 1006303312 its reverse (2133036001), we get a palindrome (3139339313).

The spelling of 1006303312 in words is "one billion, six million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 839 1678 3356 5873 6712 10709 11746 13424 21418 23492 42836 46984 74963 85672 93968 149926 171344 299852 599704 1199408 8984851 17969702 35939404 62893957 71878808 125787914 143757616 251575828 503151656 1006303312