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34312044 = 223132373131
BaseRepresentation
bin1000001011100…
…0111101101100
32101120020021110
42002320331230
532240441134
63223232020
7564435054
oct202707554
971506243
1034312044
1118406168
12b5a8610
1371548b0
1447b2564
15302b7e9
hex20b8f6c

34312044 has 96 divisors (see below), whose sum is σ = 91897344. Its totient is φ = 9884160.

The previous prime is 34312027. The next prime is 34312049. The reversal of 34312044 is 44021343.

34312044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34312044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34312049) by changing a digit.

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, 261859 + ... + 261989.

It is an arithmetic number, because the mean of its divisors is an integer number (957264).

Almost surely, 234312044 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 34312044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45948672).

34312044 is an abundant number, since it is smaller than the sum of its proper divisors (57585300).

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

34312044 is a wasteful number, since it uses less digits than its factorization.

34312044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34312044 is about 5857.6483335892. The cubic root of 34312044 is about 324.9492433556.

Adding to 34312044 its reverse (44021343), we get a palindrome (78333387).

The spelling of 34312044 in words is "thirty-four million, three hundred twelve thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 73 78 92 131 138 146 156 219 262 276 292 299 393 438 524 598 786 876 897 949 1196 1572 1679 1703 1794 1898 2847 3013 3358 3406 3588 3796 5037 5109 5694 6026 6716 6812 9039 9563 10074 10218 11388 12052 18078 19126 20148 20436 21827 28689 36156 38252 39169 43654 57378 65481 78338 87308 114756 117507 124319 130962 156676 219949 235014 248638 261924 372957 439898 470028 497276 659847 745914 879796 1319694 1491828 2639388 2859337 5718674 8578011 11437348 17156022 34312044