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332603664 = 243193471051
BaseRepresentation
bin10011110100110…
…010000100010000
3212011212000110020
4103310302010100
51140121304124
653000503440
711146040661
oct2364620420
9764760406
10332603664
11160823068
129347ab80
1353ba4c03
143225d368
151e2ee379
hex13d32110

332603664 has 80 divisors (see below), whose sum is σ = 907918080. Its totient is φ = 104630400.

The previous prime is 332603653. The next prime is 332603701. The reversal of 332603664 is 466306233.

It is a super-2 number, since 2×3326036642 = 221250394612449792, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 315939 + ... + 316989.

It is an arithmetic number, because the mean of its divisors is an integer number (11348976).

Almost surely, 2332603664 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 332603664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453959040).

332603664 is an abundant number, since it is smaller than the sum of its proper divisors (575314416).

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

332603664 is a wasteful number, since it uses less digits than its factorization.

332603664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

The square root of 332603664 is about 18237.4248182138. The cubic root of 332603664 is about 692.8549802847.

Adding to 332603664 its reverse (466306233), we get a palindrome (798909897).

The spelling of 332603664 in words is "three hundred thirty-two million, six hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 347 456 694 912 1041 1051 1388 2082 2102 2776 3153 4164 4204 5552 6306 6593 8328 8408 12612 13186 16656 16816 19779 19969 25224 26372 39558 39938 50448 52744 59907 79116 79876 105488 119814 158232 159752 239628 316464 319504 364697 479256 729394 958512 1094091 1458788 2188182 2917576 4376364 5835152 6929243 8752728 13858486 17505456 20787729 27716972 41575458 55433944 83150916 110867888 166301832 332603664