Search a number
-
+
34440016 = 2413232313
BaseRepresentation
bin1000001101100…
…0001101010000
32101210201211011
42003120031100
532304040031
63230100304
7565510132
oct203301520
971721734
1034440016
1118493326
12b64a694
13719ac10
144807052
1530546b1
hex20d8350

34440016 has 60 divisors (see below), whose sum is σ = 75360628. Its totient is φ = 15155712.

The previous prime is 34440001. The next prime is 34440059. The reversal of 34440016 is 61004443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 32535616 = 1380^2 + 5704^2 .

It is a super-2 number, since 2×344400162 = 2372229404160512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109876 + ... + 110188.

Almost surely, 234440016 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 34440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37680314).

34440016 is an abundant number, since it is smaller than the sum of its proper divisors (40920612).

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

34440016 is a wasteful number, since it uses less digits than its factorization.

34440016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 34440016 is about 5868.5616636447. The cubic root of 34440016 is about 325.3527247392.

Adding to 34440016 its reverse (61004443), we get a palindrome (95444459).

The spelling of 34440016 in words is "thirty-four million, four hundred forty thousand, sixteen".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 313 368 529 598 626 1058 1196 1252 2116 2392 2504 4069 4232 4784 5008 6877 7199 8138 8464 13754 14398 16276 27508 28796 32552 55016 57592 65104 93587 110032 115184 165577 187174 331154 374348 662308 748696 1324616 1497392 2152501 2649232 4305002 8610004 17220008 34440016