Search a number
-
+
332564106 = 237193471201
BaseRepresentation
bin10011110100101…
…000011010001010
3212011210000012010
4103310220122022
51140114022411
653000000350
711145514440
oct2364503212
9764700163
10332564106
111607a6376
12934600b6
1353b8cbc4
143224cb90
151e2e27a6
hex13d2868a

332564106 has 64 divisors (see below), whose sum is σ = 803128320. Its totient is φ = 89683200.

The previous prime is 332564077. The next prime is 332564119. The reversal of 332564106 is 601465233.

It is a super-2 number, since 2×3325641062 = 221197769199158472, which contains 22 as substring.

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, 276306 + ... + 277506.

It is an arithmetic number, because the mean of its divisors is an integer number (12548880).

Almost surely, 2332564106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332564106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401564160).

332564106 is an abundant number, since it is smaller than the sum of its proper divisors (470564214).

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

332564106 is a wasteful number, since it uses less digits than its factorization.

332564106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 332564106 is about 18236.3402578478. The cubic root of 332564106 is about 692.8275111105.

The spelling of 332564106 in words is "three hundred thirty-two million, five hundred sixty-four thousand, one hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 347 399 694 798 1041 1201 2082 2402 2429 3603 4858 6593 7206 7287 8407 13186 14574 16814 19779 22819 25221 39558 45638 46151 50442 68457 92302 136914 138453 159733 276906 319466 416747 479199 833494 958398 1250241 2500482 2917229 5834458 7918193 8751687 15836386 17503374 23754579 47509158 55427351 110854702 166282053 332564106