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332144032 = 2511285781
BaseRepresentation
bin10011110011000…
…001110110100000
3212010222122221211
4103303001312200
51140012102112
652542555504
711142114643
oct2363016640
9763878854
10332144032
11160539800
1293298b94
1353a7393c
143217da5a
151e25d0a7
hex13cc1da0

332144032 has 36 divisors (see below), whose sum is σ = 718767378. Its totient is φ = 150972800.

The previous prime is 332144027. The next prime is 332144039. The reversal of 332144032 is 230441233.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 212110096 + 120033936 = 14564^2 + 10956^2 .

It is a super-2 number, since 2×3321440322 = 220639315986434048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 332143994 and 332144012.

It is not an unprimeable number, because it can be changed into a prime (332144039) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 39019 + ... + 46762.

Almost surely, 2332144032 is an apocalyptic number.

332144032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332144032 is an abundant number, since it is smaller than the sum of its proper divisors (386623346).

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

332144032 is a wasteful number, since it uses less digits than its factorization.

332144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85813 (or 85794 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 332144032 is about 18224.8191211875. The cubic root of 332144032 is about 692.5356761977.

Adding to 332144032 its reverse (230441233), we get a palindrome (562585265).

The spelling of 332144032 in words is "three hundred thirty-two million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 85781 171562 343124 686248 943591 1372496 1887182 2744992 3774364 7548728 10379501 15097456 20759002 30194912 41518004 83036008 166072016 332144032