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3332064032 = 251123340627
BaseRepresentation
bin1100011010011011…
…0100001100100000
322121012212101112222
43012212310030200
523311002022112
61310345410212
7145400035253
oct30646641440
98535771488
103332064032
11145a955030
1278ba99968
1341142a92b
1423876509a
151477d8372
hexc69b4320

3332064032 has 48 divisors (see below), whose sum is σ = 7187255712. Its totient is φ = 1508037120.

The previous prime is 3332064019. The next prime is 3332064041. The reversal of 3332064032 is 2304602333.

It is a super-2 number, since 2×33320640322 = 22205301426696194048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3332063992 and 3332064010.

It is an unprimeable number.

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, 61703 + ... + 102329.

It is an arithmetic number, because the mean of its divisors is an integer number (149734494).

Almost surely, 23332064032 is an apocalyptic number.

3332064032 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 3332064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593627856).

3332064032 is an abundant number, since it is smaller than the sum of its proper divisors (3855191680).

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

3332064032 is a wasteful number, since it uses less digits than its factorization.

3332064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40881 (or 40873 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

The square root of 3332064032 is about 57724.0334003091. The cubic root of 3332064032 is about 1493.6119496796.

Adding to 3332064032 its reverse (2304602333), we get a palindrome (5636666365).

The spelling of 3332064032 in words is "three billion, three hundred thirty-two million, sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 233 352 466 932 1864 2563 3728 5126 7456 10252 20504 40627 41008 81254 82016 162508 325016 446897 650032 893794 1300064 1787588 3575176 7150352 9466091 14300704 18932182 37864364 75728728 104127001 151457456 208254002 302914912 416508004 833016008 1666032016 3332064032