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353264112 = 243319193223
BaseRepresentation
bin10101000011100…
…110000111110000
3220121201200021000
4111003212013300
51210413422422
655015402000
711516460345
oct2503460760
9817650230
10353264112
11171454613
129a383300
1358259b26
1434cba7cc
1521030cac
hex150e61f0

353264112 has 160 divisors (see below), whose sum is σ = 1077708800. Its totient is φ = 110481408.

The previous prime is 353264099. The next prime is 353264129. The reversal of 353264112 is 211462353.

353264112 is a `hidden beast` number, since 3 + 5 + 3 + 2 + 641 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1584033 + ... + 1584255.

It is an arithmetic number, because the mean of its divisors is an integer number (6735680).

Almost surely, 2353264112 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 353264112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538854400).

353264112 is an abundant number, since it is smaller than the sum of its proper divisors (724444688).

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

353264112 is a wasteful number, since it uses less digits than its factorization.

353264112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 353264112 is about 18795.3215455336. The cubic root of 353264112 is about 706.9138761696.

The spelling of 353264112 in words is "three hundred fifty-three million, two hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 193 216 223 228 304 342 386 432 446 456 513 579 669 684 772 892 912 1026 1158 1338 1368 1544 1737 1784 2007 2052 2316 2676 2736 3088 3474 3568 3667 4014 4104 4237 4632 5211 5352 6021 6948 7334 8028 8208 8474 9264 10422 10704 11001 12042 12711 13896 14668 16056 16948 20844 22002 24084 25422 27792 29336 32112 33003 33896 38133 41688 43039 44004 48168 50844 58672 66006 67792 76266 83376 86078 88008 96336 99009 101688 114399 129117 132012 152532 172156 176016 198018 203376 228798 258234 264024 305064 344312 387351 396036 457596 516468 528048 610128 688624 774702 792072 817741 915192 1032936 1162053 1549404 1584144 1635482 1830384 2065872 2324106 2453223 3098808 3270964 4648212 4906446 6197616 6541928 7359669 9296424 9812892 13083856 14719338 18592848 19625784 22079007 29438676 39251568 44158014 58877352 88316028 117754704 176632056 353264112