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3204200032 = 251126411291
BaseRepresentation
bin1011111011111100…
…0011011001100000
322021022021020010021
42332333003121200
523030233400112
61245541043224
7142255152025
oct27677033140
98238236107
103204200032
1113a4761a00
127550b6514
133c0aac467
1422579d54c
1513b47c907
hexbefc3660

3204200032 has 72 divisors (see below), whose sum is σ = 6950078856. Its totient is φ = 1453056000.

The previous prime is 3204200017. The next prime is 3204200057. The reversal of 3204200032 is 2300024023.

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 = 3204199979 and 3204200015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2481307 + ... + 2482597.

It is an arithmetic number, because the mean of its divisors is an integer number (96528873).

Almost surely, 23204200032 is an apocalyptic number.

3204200032 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 3204200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475039428).

3204200032 is an abundant number, since it is smaller than the sum of its proper divisors (3745878824).

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

3204200032 is a wasteful number, since it uses less digits than its factorization.

3204200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3204200032 is about 56605.6537105615. The cubic root of 3204200032 is about 1474.2570280230.

Adding to 3204200032 its reverse (2300024023), we get a palindrome (5504224055).

The spelling of 3204200032 in words is "three billion, two hundred four million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 641 968 1282 1291 1936 2564 2582 3872 5128 5164 7051 10256 10328 14102 14201 20512 20656 28204 28402 41312 56408 56804 77561 112816 113608 155122 156211 225632 227216 310244 312422 454432 620488 624844 827531 1240976 1249688 1655062 2481952 2499376 3310124 4998752 6620248 9102841 13240496 18205682 26480992 36411364 72822728 100131251 145645456 200262502 291290912 400525004 801050008 1602100016 3204200032