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3213052032 = 27365912697
BaseRepresentation
bin1011111110000011…
…0100100010000000
322021220220221210010
42333200310202000
523040020131112
61250454504520
7142423330431
oct27740644200
98256827703
103213052032
1113a9758603
12758065140
133c288b628
14226a25488
1513c12a63c
hexbf834880

3213052032 has 64 divisors (see below), whose sum is σ = 8548293600. Its totient is φ = 1069307904.

The previous prime is 3213052001. The next prime is 3213052033. The reversal of 3213052032 is 2302503123.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3213052033) 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, 246708 + ... + 259404.

Almost surely, 23213052032 is an apocalyptic number.

3213052032 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 3213052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274146800).

3213052032 is an abundant number, since it is smaller than the sum of its proper divisors (5335241568).

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

3213052032 is a wasteful number, since it uses less digits than its factorization.

3213052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13373 (or 13361 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3213052032 is about 56683.7898521262. The cubic root of 3213052032 is about 1475.6133857165.

Adding to 3213052032 its reverse (2302503123), we get a palindrome (5515555155).

The spelling of 3213052032 in words is "three billion, two hundred thirteen million, fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 659 1318 1977 2636 3954 5272 7908 10544 12697 15816 21088 25394 31632 38091 42176 50788 63264 76182 84352 101576 126528 152364 203152 253056 304728 406304 609456 812608 1218912 1625216 2437824 4875648 8367323 16734646 25101969 33469292 50203938 66938584 100407876 133877168 200815752 267754336 401631504 535508672 803263008 1071017344 1606526016 3213052032