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3430812 = 2237114779
BaseRepresentation
bin1101000101100110011100
320110022012010
431011212130
51334241222
6201311220
741106240
oct15054634
96408163
103430812
111a33690
121195510
13931788
14654420
1547b80c
hex34599c

3430812 has 96 divisors (see below), whose sum is σ = 10321920. Its totient is φ = 861120.

The previous prime is 3430783. The next prime is 3430813. The reversal of 3430812 is 2180343.

It is a happy number.

3430812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43389 + ... + 43467.

It is an arithmetic number, because the mean of its divisors is an integer number (107520).

Almost surely, 23430812 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 3430812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160960).

3430812 is an abundant number, since it is smaller than the sum of its proper divisors (6891108).

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

3430812 is a wasteful number, since it uses less digits than its factorization.

3430812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3430812 is about 1852.2451241669. The cubic root of 3430812 is about 150.8223280501.

The spelling of 3430812 in words is "three million, four hundred thirty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 66 77 79 84 94 132 141 154 158 188 231 237 282 308 316 329 462 474 517 553 564 658 869 924 948 987 1034 1106 1316 1551 1659 1738 1974 2068 2212 2607 3102 3318 3476 3619 3713 3948 5214 6083 6204 6636 7238 7426 10428 10857 11139 12166 14476 14852 18249 21714 22278 24332 25991 36498 40843 43428 44556 51982 72996 77973 81686 103964 122529 155946 163372 245058 285901 311892 490116 571802 857703 1143604 1715406 3430812