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3032113032 = 2332138813677
BaseRepresentation
bin1011010010111010…
…0101111110001000
321211022110022010200
42310232211332020
522202210104112
61220512412200
7135065351454
oct26456457610
97738408120
103032113032
111316604443
12707547060
13394249230
1420a9a5664
1512b2d8cdc
hexb4ba5f88

3032113032 has 96 divisors (see below), whose sum is σ = 8856109080. Its totient is φ = 931645440.

The previous prime is 3032113027. The next prime is 3032113079. The reversal of 3032113032 is 2303112303.

It can be written as a sum of positive squares in 4 ways, for example, as 2051546436 + 980566596 = 45294^2 + 31314^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3032112996 and 3032113014.

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 23 ways as a sum of consecutive naturals, for example, 822778 + ... + 826454.

Almost surely, 23032113032 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 3032113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428054540).

3032113032 is an abundant number, since it is smaller than the sum of its proper divisors (5823996048).

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

3032113032 is a wasteful number, since it uses less digits than its factorization.

3032113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3032113032 is about 55064.6259589584. The cubic root of 3032113032 is about 1447.3774286576.

Adding to 3032113032 its reverse (2303112303), we get a palindrome (5335225335).

The spelling of 3032113032 in words is "three billion, thirty-two million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 881 936 1762 2643 3524 3677 5286 7048 7354 7929 10572 11031 11453 14708 15858 21144 22062 22906 29416 31716 33093 34359 44124 45812 47801 63432 66186 68718 88248 91624 95602 103077 132372 137436 143403 191204 206154 264744 274872 286806 382408 412308 430209 573612 824616 860418 1147224 1720836 3239437 3441672 6478874 9718311 12957748 19436622 25915496 29154933 38873244 42112681 58309866 77746488 84225362 116619732 126338043 168450724 233239464 252676086 336901448 379014129 505352172 758028258 1010704344 1516056516 3032113032