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368552106 = 234131391259
BaseRepresentation
bin10101111101111…
…010100010101010
3221200111101110000
4111331322202222
51223322131411
6100323203430
712063432636
oct2575724252
9850441400
10368552106
1117a04671a
12a3516576
135b480590
1436d39dc6
1522550956
hex15f7a8aa

368552106 has 80 divisors (see below), whose sum is σ = 896464800. Its totient is φ = 112495392.

The previous prime is 368552077. The next prime is 368552117. The reversal of 368552106 is 601255863.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 292105 + ... + 293363.

It is an arithmetic number, because the mean of its divisors is an integer number (11205810).

Almost surely, 2368552106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368552106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448232400).

368552106 is an abundant number, since it is smaller than the sum of its proper divisors (527912694).

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

368552106 is a wasteful number, since it uses less digits than its factorization.

368552106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 368552106 is about 19197.7109572990. The cubic root of 368552106 is about 716.9677687232.

The spelling of 368552106 in words is "three hundred sixty-eight million, five hundred fifty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 139 162 234 278 351 417 702 834 1053 1251 1259 1807 2106 2502 2518 3614 3753 3777 5421 7506 7554 10842 11259 11331 16263 16367 22518 22662 32526 32734 33993 48789 49101 67986 97578 98202 101979 146367 147303 175001 203958 292734 294606 350002 441909 525003 883818 1050006 1325727 1575009 2275013 2651454 3150018 4550026 4725027 6825039 9450054 13650078 14175081 20475117 28350162 40950234 61425351 122850702 184276053 368552106