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3820303312 = 247234613217
BaseRepresentation
bin1110001110110101…
…0011001111010000
3100212020120111221021
43203231103033100
530310444201222
61431030205224
7163446020350
oct34355231720
910766514837
103820303312
111690509471
128a74b3814
1348b625907
14283538b60
151755cbac7
hexe3b533d0

3820303312 has 80 divisors (see below), whose sum is σ = 8848933632. Its totient is φ = 1562204160.

The previous prime is 3820303297. The next prime is 3820303327. The reversal of 3820303312 is 2133030283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3820303297) and next prime (3820303327).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1185928 + ... + 1189144.

Almost surely, 23820303312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3820303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424466816).

3820303312 is an abundant number, since it is smaller than the sum of its proper divisors (5028630320).

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

3820303312 is a wasteful number, since it uses less digits than its factorization.

3820303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 3820303312 is about 61808.6022492015. The cubic root of 3820303312 is about 1563.2650375565.

Adding to 3820303312 its reverse (2133030283), we get a palindrome (5953333595).

The spelling of 3820303312 in words is "three billion, eight hundred twenty million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 461 644 922 1288 1844 2576 3217 3227 3688 6434 6454 7376 10603 12868 12908 21206 22519 25736 25816 42412 45038 51472 51632 73991 74221 84824 90076 147982 148442 169648 180152 295964 296884 360304 517937 591928 593768 1035874 1183856 1187536 1483037 2071748 2966074 4143496 5932148 8286992 10381259 11864296 20762518 23728592 34109851 41525036 68219702 83050072 136439404 166100144 238768957 272878808 477537914 545757616 955075828 1910151656 3820303312