Search a number
-
+
344435112 = 2333734649
BaseRepresentation
bin10100100001111…
…010100110101000
3220000010010011000
4110201322212220
51201133410422
654102235000
711351436000
oct2441724650
9800103130
10344435112
1116747421a
1297425a60
1356488278
1433a5d000
1520389cac
hex1487a9a8

344435112 has 128 divisors (see below), whose sum is σ = 1116000000. Its totient is φ = 98388864.

The previous prime is 344435101. The next prime is 344435123. The reversal of 344435112 is 211534443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (344435101) and next prime (344435123).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 71764 + ... + 76412.

It is an arithmetic number, because the mean of its divisors is an integer number (8718750).

Almost surely, 2344435112 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 344435112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558000000).

344435112 is an abundant number, since it is smaller than the sum of its proper divisors (771564888).

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

344435112 is a wasteful number, since it uses less digits than its factorization.

344435112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4661 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 344435112 is about 18558.9631175882. The cubic root of 344435112 is about 700.9749082562.

Adding to 344435112 its reverse (211534443), we get a palindrome (555969555).

The spelling of 344435112 in words is "three hundred forty-four million, four hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 4649 5292 6174 8232 9261 9298 10584 12348 13947 18522 18596 24696 27894 32543 37044 37192 41841 55788 65086 74088 83682 97629 111576 125523 130172 167364 195258 227801 251046 260344 292887 334728 390516 455602 502092 585774 683403 781032 878661 911204 1004184 1171548 1366806 1594607 1757322 1822408 2050209 2343096 2733612 3189214 3514644 4100418 4783821 5467224 6150627 6378428 7029288 8200836 9567642 12301254 12756856 14351463 16401672 19135284 24602508 28702926 38270568 43054389 49205016 57405852 86108778 114811704 172217556 344435112