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3204404032 = 26314337561
BaseRepresentation
bin1011111011111111…
…0101001101000000
322021022122120221211
42332333311031000
523030311412112
61245545255504
7142256661544
oct27677651500
98238576854
103204404032
1113a48911a5
12755194594
133c0b5127b
14225813a24
1513b4bd0a7
hexbeff5340

3204404032 has 56 divisors (see below), whose sum is σ = 6716686592. Its totient is φ = 1514419200.

The previous prime is 3204404011. The next prime is 3204404087. The reversal of 3204404032 is 2304044023.

It is a junction number, because it is equal to n+sod(n) for n = 3204403994 and 3204404012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66532 + ... + 104092.

It is an arithmetic number, because the mean of its divisors is an integer number (119940832).

Almost surely, 23204404032 is an apocalyptic number.

3204404032 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 3204404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358343296).

3204404032 is an abundant number, since it is smaller than the sum of its proper divisors (3512282560).

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

3204404032 is a wasteful number, since it uses less digits than its factorization.

3204404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37647 (or 37637 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3204404032 is about 56607.4556220292. The cubic root of 3204404032 is about 1474.2883142565.

Adding to 3204404032 its reverse (2304044023), we get a palindrome (5508448055).

The spelling of 3204404032 in words is "three billion, two hundred four million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 172 248 344 496 688 992 1333 1376 1984 2666 2752 5332 10664 21328 37561 42656 75122 85312 150244 300488 600976 1164391 1201952 1615123 2328782 2403904 3230246 4657564 6460492 9315128 12920984 18630256 25841968 37260512 50068813 51683936 74521024 100137626 103367872 200275252 400550504 801101008 1602202016 3204404032