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3000413416 = 2371113374677
BaseRepresentation
bin1011001011010110…
…1010110011101000
321202002210210102211
42302311222303220
522121101212131
61213421134504
7134232043660
oct26265526350
97662723384
103000413416
1112aa723010
126b89ba434
1338a7ca770
142066b31a0
151286265b1
hexb2d6ace8

3000413416 has 64 divisors (see below), whose sum is σ = 7553508480. Its totient is φ = 1079066880.

The previous prime is 3000413407. The next prime is 3000413431. The reversal of 3000413416 is 6143140003.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 179331 + ... + 195346.

It is an arithmetic number, because the mean of its divisors is an integer number (118023570).

Almost surely, 23000413416 is an apocalyptic number.

It is an amenable number.

3000413416 is an abundant number, since it is smaller than the sum of its proper divisors (4553095064).

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

3000413416 is a wasteful number, since it uses less digits than its factorization.

3000413416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374714 (or 374710 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3000413416 is about 54776.0295749884. The cubic root of 3000413416 is about 1442.3158171587.

Adding to 3000413416 its reverse (6143140003), we get a palindrome (9143553419).

The spelling of 3000413416 in words is "three billion, four hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 374677 749354 1498708 2622739 2997416 4121447 4870801 5245478 8242894 9741602 10490956 16485788 19483204 20981912 28850129 32971576 34095607 38966408 53578811 57700258 68191214 107157622 115400516 136382428 214315244 230801032 272764856 375051677 428630488 750103354 1500206708 3000413416