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3083066832 = 243234168113
BaseRepresentation
bin1011011111000011…
…1101110111010000
321221212100000121110
42313300331313100
522303231114312
61225532453320
7136254431016
oct26760756720
97855300543
103083066832
11134234681a
1272061a240
133a1979801
1421366a8b6
15130a0143c
hexb7c3ddd0

3083066832 has 80 divisors (see below), whose sum is σ = 8513705088. Its totient is φ = 959016960.

The previous prime is 3083066827. The next prime is 3083066837. The reversal of 3083066832 is 2386603803.

It is an interprime number because it is at equal distance from previous prime (3083066827) and next prime (3083066837).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083066837) 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, 11208 + ... + 79320.

Almost surely, 23083066832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3083066832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256852544).

3083066832 is an abundant number, since it is smaller than the sum of its proper divisors (5430638256).

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

3083066832 is a wasteful number, since it uses less digits than its factorization.

3083066832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68188 (or 68182 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 3083066832 is about 55525.3710658470. The cubic root of 3083066832 is about 1455.4400218494.

The spelling of 3083066832 in words is "three billion, eighty-three million, sixty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 492 552 656 943 984 1104 1886 1968 2829 3772 5658 7544 11316 15088 22632 45264 68113 136226 204339 272452 408678 544904 817356 1089808 1566599 1634712 2792633 3133198 3269424 4699797 5585266 6266396 8377899 9399594 11170532 12532792 16755798 18799188 22341064 25065584 33511596 37598376 44682128 64230559 67023192 75196752 128461118 134046384 192691677 256922236 385383354 513844472 770766708 1027688944 1541533416 3083066832