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3321001312 = 25418330497
BaseRepresentation
bin1100010111110010…
…0111010101100000
322120110001100100121
43011330213111200
523300134020222
61305312330024
7145204021366
oct30574472540
98513040317
103321001312
111454689492
12788243914
1340c056445
142370c5636
151468505c7
hexc5f27560

3321001312 has 48 divisors (see below), whose sum is σ = 6778607472. Its totient is φ = 1600430080.

The previous prime is 3321001309. The next prime is 3321001417. The reversal of 3321001312 is 2131001233.

3321001312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33210013122 = 22058099428611442688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93648 + ... + 124144.

It is an arithmetic number, because the mean of its divisors is an integer number (141220989).

Almost surely, 23321001312 is an apocalyptic number.

3321001312 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 3321001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389303736).

3321001312 is an abundant number, since it is smaller than the sum of its proper divisors (3457606160).

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

3321001312 is a wasteful number, since it uses less digits than its factorization.

3321001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30631 (or 30623 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3321001312 is about 57628.1295202265. The cubic root of 3321001312 is about 1491.9571464522.

Adding to 3321001312 its reverse (2131001233), we get a palindrome (5452002545).

The spelling of 3321001312 in words is "three billion, three hundred twenty-one million, one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 83 164 166 328 332 656 664 1312 1328 2656 3403 6806 13612 27224 30497 54448 60994 108896 121988 243976 487952 975904 1250377 2500754 2531251 5001508 5062502 10003016 10125004 20006032 20250008 40012064 40500016 81000032 103781291 207562582 415125164 830250328 1660500656 3321001312