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34161036 = 223721341109
BaseRepresentation
bin1000001001010…
…0000110001100
32101021120010120
42002110012030
532221123121
63220104540
7563235600
oct202240614
971246116
1034161036
1118312768
12b535150
137100c40
144773500
152eebbc6
hex209418c

34161036 has 144 divisors (see below), whose sum is σ = 103229280. Its totient is φ = 8709120.

The previous prime is 34160999. The next prime is 34161047. The reversal of 34161036 is 63016143.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 34160997 and 34161015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313350 + ... + 313458.

It is an arithmetic number, because the mean of its divisors is an integer number (716870).

Almost surely, 234161036 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 34161036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51614640).

34161036 is an abundant number, since it is smaller than the sum of its proper divisors (69068244).

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

34161036 is a wasteful number, since it uses less digits than its factorization.

34161036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 34161036 is about 5844.7443057845. The cubic root of 34161036 is about 324.4718395826.

Adding to 34161036 its reverse (63016143), we get a palindrome (97177179).

The spelling of 34161036 in words is "thirty-four million, one hundred sixty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 49 52 78 82 84 91 98 109 123 147 156 164 182 196 218 246 273 287 294 327 364 436 492 533 546 574 588 637 654 763 861 1066 1092 1148 1274 1308 1417 1526 1599 1722 1911 2009 2132 2289 2548 2834 3052 3198 3444 3731 3822 4018 4251 4469 4578 5341 5668 6027 6396 7462 7644 8036 8502 8938 9156 9919 10682 11193 12054 13407 14924 16023 17004 17876 19838 21364 22386 24108 26117 26814 29757 31283 32046 39676 44772 52234 53628 58097 59514 62566 64092 69433 78351 93849 104468 116194 119028 125132 138866 156702 174291 187698 208299 218981 232388 277732 313404 348582 375396 406679 416598 437962 656943 697164 813358 833196 875924 1220037 1313886 1626716 2440074 2627772 2846753 4880148 5693506 8540259 11387012 17080518 34161036