Search a number
-
+
3946084352 = 2117409673
BaseRepresentation
bin1110101100110100…
…0111100000000000
3101012000020212002022
43223031013200000
531040144144402
61451322141012
7166534110050
oct35315074000
911160225068
103946084352
111745509641
12921651768
134ab6c4c72
1429611b560
151816752a2
hexeb347800

3946084352 has 96 divisors (see below), whose sum is σ = 9052898400. Its totient is φ = 1684537344.

The previous prime is 3946084343. The next prime is 3946084361. The reversal of 3946084352 is 2534806493.

It is an interprime number because it is at equal distance from previous prime (3946084343) and next prime (3946084361).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5863088 + ... + 5863760.

It is an arithmetic number, because the mean of its divisors is an integer number (94301025).

Almost surely, 23946084352 is an apocalyptic number.

3946084352 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 3946084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526449200).

3946084352 is an abundant number, since it is smaller than the sum of its proper divisors (5106814048).

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

3946084352 is an equidigital number, since it uses as much as digits as its factorization.

3946084352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The square root of 3946084352 is about 62817.8665030897. The cubic root of 3946084352 is about 1580.2366189448.

The spelling of 3946084352 in words is "three billion, nine hundred forty-six million, eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 409 448 512 673 818 896 1024 1346 1636 1792 2048 2692 2863 3272 3584 4711 5384 5726 6544 7168 9422 10768 11452 13088 14336 18844 21536 22904 26176 37688 43072 45808 52352 75376 86144 91616 104704 150752 172288 183232 209408 275257 301504 344576 366464 418816 550514 603008 689152 732928 837632 1101028 1206016 1378304 1465856 1926799 2202056 2412032 2931712 3853598 4404112 4824064 5863424 7707196 8808224 9648128 15414392 17616448 30828784 35232896 61657568 70465792 123315136 140931584 246630272 281863168 493260544 563726336 986521088 1973042176 3946084352