Search a number
-
+
3448680 = 233529991
BaseRepresentation
bin1101001001111101101000
320111012200220
431021331220
51340324210
6201530040
741212314
oct15117550
96435626
103448680
111a46054
1211a3920
13939951
1465ab44
15481c70
hex349f68

3448680 has 64 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 887040.

The previous prime is 3448673. The next prime is 3448681. The reversal of 3448680 is 868443.

3448680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3448681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2985 + ... + 3975.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 23448680 is an apocalyptic number.

3448680 is a gapful number since it is divisible by the number (30) 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 3448680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

3448680 is an abundant number, since it is smaller than the sum of its proper divisors (7264920).

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

3448680 is a wasteful number, since it uses less digits than its factorization.

3448680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3448680 is about 1857.0621960505. The cubic root of 3448680 is about 151.0837072247.

The spelling of 3448680 in words is "three million, four hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 991 1160 1740 1982 2973 3480 3964 4955 5946 7928 9910 11892 14865 19820 23784 28739 29730 39640 57478 59460 86217 114956 118920 143695 172434 229912 287390 344868 431085 574780 689736 862170 1149560 1724340 3448680