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3201320032 = 25196789883
BaseRepresentation
bin1011111011010000…
…0100010001100000
322021002211220111121
42332310010101200
523024014220112
61245355222024
7142221525361
oct27664042140
98232756447
103201320032
1113a3075139
12754147914
133c0311611
1422524db68
1513b0ae407
hexbed04460

3201320032 has 96 divisors (see below), whose sum is σ = 6816700800. Its totient is φ = 1475324928.

The previous prime is 3201320011. The next prime is 3201320039. The reversal of 3201320032 is 2300231023.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3201319988 and 3201320015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201320039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3625063 + ... + 3625945.

It is an arithmetic number, because the mean of its divisors is an integer number (71007300).

Almost surely, 23201320032 is an apocalyptic number.

3201320032 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 3201320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408350400).

3201320032 is an abundant number, since it is smaller than the sum of its proper divisors (3615380768).

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

3201320032 is a wasteful number, since it uses less digits than its factorization.

3201320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3201320032 is about 56580.2088366595. The cubic root of 3201320032 is about 1473.8151982452.

Adding to 3201320032 its reverse (2300231023), we get a palindrome (5501551055).

The spelling of 3201320032 in words is "three billion, two hundred one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 67 76 89 134 152 178 268 304 356 536 608 712 883 1072 1273 1424 1691 1766 2144 2546 2848 3382 3532 5092 5963 6764 7064 10184 11926 13528 14128 16777 20368 23852 27056 28256 33554 40736 47704 54112 59161 67108 78587 95408 113297 118322 134216 157174 190816 226594 236644 268432 314348 453188 473288 536864 628696 906376 946576 1124059 1257392 1493153 1812752 1893152 2248118 2514784 2986306 3625504 4496236 5265329 5972612 8992472 10530658 11945224 17984944 21061316 23890448 35969888 42122632 47780896 84245264 100041251 168490528 200082502 400165004 800330008 1600660016 3201320032