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3204024032 = 251168313327
BaseRepresentation
bin1011111011111001…
…1000011011100000
322021021221021200202
42332332120123200
523030212232112
61245533204332
7142253516636
oct27676303340
98237837622
103204024032
1113a4651750
127550306a8
133c0a4a311
14225755356
1513b4456c2
hexbef986e0

3204024032 has 48 divisors (see below), whose sum is σ = 6891962112. Its totient is φ = 1454133120.

The previous prime is 3204024013. The next prime is 3204024053. The reversal of 3204024032 is 2304204023.

It is a junction number, because it is equal to n+sod(n) for n = 3204023995 and 3204024013.

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, 233753 + ... + 247079.

It is an arithmetic number, because the mean of its divisors is an integer number (143582544).

Almost surely, 23204024032 is an apocalyptic number.

3204024032 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 3204024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445981056).

3204024032 is an abundant number, since it is smaller than the sum of its proper divisors (3687938080).

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

3204024032 is a wasteful number, since it uses less digits than its factorization.

3204024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14031 (or 14023 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3204024032 is about 56604.0990741837. The cubic root of 3204024032 is about 1474.2300349113.

Adding to 3204024032 its reverse (2304204023), we get a palindrome (5508228055).

Subtracting from 3204024032 its reverse (2304204023), we obtain a square (899820009 = 299972).

The spelling of 3204024032 in words is "three billion, two hundred four million, twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 683 1366 2732 5464 7513 10928 13327 15026 21856 26654 30052 53308 60104 106616 120208 146597 213232 240416 293194 426464 586388 1172776 2345552 4691104 9102341 18204682 36409364 72818728 100125751 145637456 200251502 291274912 400503004 801006008 1602012016 3204024032