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3312001312 = 25316615051
BaseRepresentation
bin1100010101101001…
…0010000100100000
322112211010002200021
43011122102010200
523240333020222
61304351403224
7145034355334
oct30532220440
98484102607
103312001312
11144a5a1674
12785223514
1340a224ab9
14235c217c4
15145b73ac7
hexc5692120

3312001312 has 48 divisors (see below), whose sum is σ = 6742358784. Its totient is φ = 1599840000.

The previous prime is 3312001267. The next prime is 3312001331. The reversal of 3312001312 is 2131002133.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653187 + ... + 658237.

It is an arithmetic number, because the mean of its divisors is an integer number (140465808).

Almost surely, 23312001312 is an apocalyptic number.

3312001312 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 3312001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371179392).

3312001312 is an abundant number, since it is smaller than the sum of its proper divisors (3430357472).

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

3312001312 is a wasteful number, since it uses less digits than its factorization.

3312001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5745 counting only the distinct ones).

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

The square root of 3312001312 is about 57549.9896785395. The cubic root of 3312001312 is about 1490.6081795716.

Adding to 3312001312 its reverse (2131002133), we get a palindrome (5443003445).

It can be divided in two parts, 33120013 and 12, that added together give a square (33120025 = 57552).

The spelling of 3312001312 in words is "three billion, three hundred twelve million, one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 661 992 1322 2644 5051 5288 10102 10576 20204 20491 21152 40408 40982 80816 81964 156581 161632 163928 313162 327856 626324 655712 1252648 2505296 3338711 5010592 6677422 13354844 26709688 53419376 103500041 106838752 207000082 414000164 828000328 1656000656 3312001312