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34568352 = 25327131319
BaseRepresentation
bin1000001111011…
…1100010100000
32102001020212100
42003313202200
532322141402
63232530400
7566553240
oct203674240
972036770
1034568352
1118570795
12b6b0a00
137214460
14483bb20
15307c71c
hex20f78a0

34568352 has 144 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 9110016.

The previous prime is 34568351. The next prime is 34568357. The reversal of 34568352 is 25386543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34568351) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25549 + ... + 26867.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 234568352 is an apocalyptic number.

34568352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34568352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

34568352 is an abundant number, since it is smaller than the sum of its proper divisors (86512608).

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

34568352 is a wasteful number, since it uses less digits than its factorization.

34568352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1344 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 34568352 is about 5879.4856917931. The cubic root of 34568352 is about 325.7563512482.

The spelling of 34568352 in words is "thirty-four million, five hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1319 1456 1638 1872 2016 2184 2638 2912 3276 3744 3957 4368 5276 6552 7914 8736 9233 10552 11871 13104 15828 17147 18466 21104 23742 26208 27699 31656 34294 36932 42208 47484 51441 55398 63312 68588 73864 83097 94968 102882 110796 120029 126624 137176 147728 154323 166194 189936 205764 221592 240058 274352 295456 308646 332388 360087 379872 411528 443184 480116 548704 617292 664776 720174 823056 886368 960232 1080261 1234584 1329552 1440348 1646112 1920464 2160522 2469168 2659104 2880696 3840928 4321044 4938336 5761392 8642088 11522784 17284176 34568352