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3274063616 = 28234711831
BaseRepresentation
bin1100001100100110…
…0011111100000000
322110011201122221102
43003021203330000
523201130013431
61300514313532
7144064036655
oct30311437400
98404648842
103274063616
11143013a4aa
127745888a8
13402400b65
14230b87c2c
1514267cdcb
hexc3263f00

3274063616 has 72 divisors (see below), whose sum is σ = 6965167104. Its totient is φ = 1532410880.

The previous prime is 3274063613. The next prime is 3274063649. The reversal of 3274063616 is 6163604723.

It is a super-2 number, since 2×32740636162 = 21438985123229990912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3274063616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3274063613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270821 + ... + 282651.

It is an arithmetic number, because the mean of its divisors is an integer number (96738432).

Almost surely, 23274063616 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 3274063616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482583552).

3274063616 is an abundant number, since it is smaller than the sum of its proper divisors (3691103488).

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

3274063616 is a wasteful number, since it uses less digits than its factorization.

3274063616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11917 (or 11903 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 3274063616 is about 57219.4339014290. The cubic root of 3274063616 is about 1484.8948620898.

The spelling of 3274063616 in words is "three billion, two hundred seventy-four million, sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 128 184 188 256 368 376 736 752 1081 1472 1504 2162 2944 3008 4324 5888 6016 8648 11831 12032 17296 23662 34592 47324 69184 94648 138368 189296 272113 276736 378592 544226 556057 757184 1088452 1112114 1514368 2176904 2224228 3028736 4353808 4448456 8707616 8896912 12789311 17415232 17793824 25578622 34830464 35587648 51157244 69660928 71175296 102314488 142350592 204628976 409257952 818515904 1637031808 3274063616