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3324332032 = 2117673461
BaseRepresentation
bin1100011000100101…
…0100100000000000
322120200022120020121
43012021110200000
523302012111112
61305511550024
7145244233060
oct30611244000
98520276217
103324332032
11145655394a
1278938b314
1340c951498
142377113a0
15146cac407
hexc6254800

3324332032 has 96 divisors (see below), whose sum is σ = 7712228160. Its totient is φ = 1403043840.

The previous prime is 3324331951. The next prime is 3324332041. The reversal of 3324332032 is 2302334233.

It is a super-2 number, since 2×33243320322 = 22102366917962498048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3324331988 and 3324332006.

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, 958782 + ... + 962242.

It is an arithmetic number, because the mean of its divisors is an integer number (80335710).

Almost surely, 23324332032 is an apocalyptic number.

3324332032 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 3324332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856114080).

3324332032 is an abundant number, since it is smaller than the sum of its proper divisors (4387896128).

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

3324332032 is an equidigital number, since it uses as much as digits as its factorization.

3324332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

The square root of 3324332032 is about 57657.0206653101. The cubic root of 3324332032 is about 1492.4557542201.

Adding to 3324332032 its reverse (2302334233), we get a palindrome (5626666265).

The spelling of 3324332032 in words is "three billion, three hundred twenty-four million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 469 512 536 896 938 1024 1072 1792 1876 2048 2144 3461 3584 3752 4288 6922 7168 7504 8576 13844 14336 15008 17152 24227 27688 30016 34304 48454 55376 60032 68608 96908 110752 120064 137216 193816 221504 231887 240128 387632 443008 463774 480256 775264 886016 927548 960512 1550528 1623209 1772032 1855096 3101056 3246418 3544064 3710192 6202112 6492836 7088128 7420384 12404224 12985672 14840768 24808448 25971344 29681536 49616896 51942688 59363072 103885376 118726144 207770752 237452288 415541504 474904576 831083008 1662166016 3324332032