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1332330144 = 25313878439
BaseRepresentation
bin100111101101001…
…1011111010100000
310102212000101100220
41033122123322200
510212034031034
6340112243040
745005422305
oct11732337240
93385011326
101332330144
1162407a3a2
12312240480
13183047742
14c8d390ac
157be79749
hex4f69bea0

1332330144 has 24 divisors (see below), whose sum is σ = 3497366880. Its totient is φ = 444110016.

The previous prime is 1332330143. The next prime is 1332330163. The reversal of 1332330144 is 4410332331.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×13323301442 = 3550207225222121472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1332330143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6939124 + ... + 6939315.

It is an arithmetic number, because the mean of its divisors is an integer number (145723620).

Almost surely, 21332330144 is an apocalyptic number.

It is an amenable number.

1332330144 is an abundant number, since it is smaller than the sum of its proper divisors (2165036736).

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

1332330144 is a wasteful number, since it uses less digits than its factorization.

1332330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13878452 (or 13878444 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1332330144 is about 36501.0978465032. The cubic root of 1332330144 is about 1100.3663088567.

Adding to 1332330144 its reverse (4410332331), we get a palindrome (5742662475).

The spelling of 1332330144 in words is "one billion, three hundred thirty-two million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 13878439 27756878 41635317 55513756 83270634 111027512 166541268 222055024 333082536 444110048 666165072 1332330144