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3443249472 = 263136612087
BaseRepresentation
bin1100110100111011…
…1101000101000000
322212222002012022020
43031032331011000
524022432440342
61325400441440
7151220065125
oct31516750500
98788065266
103443249472
111507696323
12801179280
1342b489730
1424942874c
1515244c0ec
hexcd3bd140

3443249472 has 112 divisors (see below), whose sum is σ = 9830604672. Its totient is φ = 1057351680.

The previous prime is 3443249437. The next prime is 3443249497. The reversal of 3443249472 is 2749423443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1648813 + ... + 1650899.

It is an arithmetic number, because the mean of its divisors is an integer number (87773256).

Almost surely, 23443249472 is an apocalyptic number.

3443249472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3443249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915302336).

3443249472 is an abundant number, since it is smaller than the sum of its proper divisors (6387355200).

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

3443249472 is a wasteful number, since it uses less digits than its factorization.

3443249472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2766 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The square root of 3443249472 is about 58679.2081746167. The cubic root of 3443249472 is about 1510.0436330827.

The spelling of 3443249472 in words is "three billion, four hundred forty-three million, two hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 661 832 1248 1322 1983 2087 2496 2644 3966 4174 5288 6261 7932 8348 8593 10576 12522 15864 16696 17186 21152 25044 25779 27131 31728 33392 34372 42304 50088 51558 54262 63456 66784 68744 81393 100176 103116 108524 126912 133568 137488 162786 200352 206232 217048 274976 325572 400704 412464 434096 549952 651144 824928 868192 1302288 1379507 1649856 1736384 2604576 2759014 4138521 5209152 5518028 8277042 11036056 16554084 17933591 22072112 33108168 35867182 44144224 53800773 66216336 71734364 88288448 107601546 132432672 143468728 215203092 264865344 286937456 430406184 573874912 860812368 1147749824 1721624736 3443249472