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34403226 = 231113101397
BaseRepresentation
bin1000001100111…
…1001110011010
32101201212100120
42003033032122
532301400401
63225214110
7565264644
oct203171632
971655316
1034403226
1118468720
12b631336
137187250
1447d7894
153048836
hex20cf39a

34403226 has 64 divisors (see below), whose sum is σ = 81841536. Its totient is φ = 9504000.

The previous prime is 34403219. The next prime is 34403231. The reversal of 34403226 is 62230443.

It is a happy number.

34403226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34403196 and 34403205.

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, 86460 + ... + 86856.

It is an arithmetic number, because the mean of its divisors is an integer number (1278774).

Almost surely, 234403226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34403226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40920768).

34403226 is an abundant number, since it is smaller than the sum of its proper divisors (47438310).

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

34403226 is a wasteful number, since it uses less digits than its factorization.

34403226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34403226 is about 5865.4263272161. The cubic root of 34403226 is about 325.2368325028.

Adding to 34403226 its reverse (62230443), we get a palindrome (96633669).

It can be divided in two parts, 3440 and 3226, that added together give a palindrome (6666).

The spelling of 34403226 in words is "thirty-four million, four hundred three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 202 286 303 397 429 606 794 858 1111 1191 1313 2222 2382 2626 3333 3939 4367 5161 6666 7878 8734 10322 13101 14443 15483 26202 28886 30966 40097 43329 56771 80194 86658 113542 120291 170313 240582 340626 441067 521261 882134 1042522 1323201 1563783 2646402 3127566 5733871 11467742 17201613 34403226