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34712244 = 223272353113
BaseRepresentation
bin1000010001101…
…0101010110100
32102022120020200
42010122222310
532341242434
63240000500
7601022610
oct204325264
972276220
1034712244
1118659906
12b760130
137264ab8
144878340
1530aa199
hex211aab4

34712244 has 144 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 9225216.

The previous prime is 34712213. The next prime is 34712257. The reversal of 34712244 is 44221743.

34712244 = 3822 + 3832 + ... + 5422.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 307132 + ... + 307244.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 234712244 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 34712244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

34712244 is an abundant number, since it is smaller than the sum of its proper divisors (72845388).

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

34712244 is a wasteful number, since it uses less digits than its factorization.

34712244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 34712244 is about 5891.7097688192. The cubic root of 34712244 is about 326.2077163680.

Adding to 34712244 its reverse (44221743), we get a palindrome (78933987).

The spelling of 34712244 in words is "thirty-four million, seven hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 53 63 69 84 92 106 113 126 138 159 161 207 212 226 252 276 318 322 339 371 414 452 477 483 636 644 678 742 791 828 954 966 1017 1113 1219 1356 1449 1484 1582 1908 1932 2034 2226 2373 2438 2599 2898 3164 3339 3657 4068 4452 4746 4876 5198 5796 5989 6678 7119 7314 7797 8533 9492 10396 10971 11978 13356 14238 14628 15594 17066 17967 18193 21942 23391 23956 25599 28476 31188 34132 35934 36386 41923 43884 46782 51198 53901 54579 71868 72772 76797 83846 93564 102396 107802 109158 125769 137747 153594 163737 167692 215604 218316 251538 275494 307188 327474 377307 413241 503076 550988 654948 754614 826482 964229 1239723 1509228 1652964 1928458 2479446 2892687 3856916 4958892 5785374 8678061 11570748 17356122 34712244