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3201132032 = 2971575689
BaseRepresentation
bin1011111011001101…
…0110011000000000
322021002111100121122
42332303112120000
523023442211112
61245351211412
7142220113310
oct27663263000
98232440548
103201132032
1113a2a5696a
12754076b68
133c0276b87
14225201440
1513b073872
hexbecd6600

3201132032 has 80 divisors (see below), whose sum is σ = 7357579680. Its totient is φ = 1362935808.

The previous prime is 3201132023. The next prime is 3201132037. The reversal of 3201132032 is 2302311023.

It is a self number, because there is not a number n which added to its sum of digits gives 3201132032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201132037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559844 + ... + 565532.

It is an arithmetic number, because the mean of its divisors is an integer number (91969746).

Almost surely, 23201132032 is an apocalyptic number.

3201132032 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 3201132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678789840).

3201132032 is an abundant number, since it is smaller than the sum of its proper divisors (4156447648).

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

3201132032 is an equidigital number, since it uses as much as digits as its factorization.

3201132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3201132032 is about 56578.5474539600. The cubic root of 3201132032 is about 1473.7863473671.

Adding to 3201132032 its reverse (2302311023), we get a palindrome (5503443055).

The spelling of 3201132032 in words is "three billion, two hundred one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 224 256 314 448 512 628 896 1099 1256 1792 2198 2512 3584 4396 5024 5689 8792 10048 11378 17584 20096 22756 35168 39823 40192 45512 70336 79646 80384 91024 140672 159292 182048 281344 318584 364096 562688 637168 728192 893173 1274336 1456384 1786346 2548672 2912768 3572692 5097344 6252211 7145384 10194688 12504422 14290768 20389376 25008844 28581536 50017688 57163072 100035376 114326144 200070752 228652288 400141504 457304576 800283008 1600566016 3201132032