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166303332 = 2232132691321
BaseRepresentation
bin10011110100110…
…01011001100100
3102120221002021200
421322121121210
5320033201312
624300242500
74056361236
oct1172313144
9376832250
10166303332
1185968178
1247840430
13285b9850
1418130256
15e9000dc
hex9e99664

166303332 has 72 divisors (see below), whose sum is σ = 454741560. Its totient is φ = 50941440.

The previous prime is 166303301. The next prime is 166303373. The reversal of 166303332 is 233303661.

166303332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 160427556 = 2424^2 + 12666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 166303296 and 166303305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125232 + ... + 126552.

It is an arithmetic number, because the mean of its divisors is an integer number (6315855).

Almost surely, 2166303332 is an apocalyptic number.

166303332 is a gapful number since it is divisible by the number (12) 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 166303332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227370780).

166303332 is an abundant number, since it is smaller than the sum of its proper divisors (288438228).

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

166303332 is a wasteful number, since it uses less digits than its factorization.

166303332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 166303332 is about 12895.8649186474. The cubic root of 166303332 is about 549.9210156550.

Adding to 166303332 its reverse (233303661), we get a palindrome (399606993).

The spelling of 166303332 in words is "one hundred sixty-six million, three hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 269 468 538 807 1076 1321 1614 2421 2642 3228 3497 3963 4842 5284 6994 7926 9684 10491 11889 13988 15852 17173 20982 23778 31473 34346 41964 47556 51519 62946 68692 103038 125892 154557 206076 309114 355349 618228 710698 1066047 1421396 2132094 3198141 4264188 4619537 6396282 9239074 12792564 13858611 18478148 27717222 41575833 55434444 83151666 166303332