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1332041040 = 24325111091543
BaseRepresentation
bin100111101100101…
…0101010101010000
310102211110200210100
41033121111111100
510212000303130
6340102132400
745003106401
oct11731252520
93384420710
101332041040
116239a2170
12312121100
13182c75c85
14c8ca19a8
157be1dc60
hex4f655550

1332041040 has 240 divisors, whose sum is σ = 4928077440. Its totient is φ = 319749120.

The previous prime is 1332041027. The next prime is 1332041047. The reversal of 1332041040 is 401402331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332041047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862509 + ... + 864051.

It is an arithmetic number, because the mean of its divisors is an integer number (20533656).

Almost surely, 21332041040 is an apocalyptic number.

1332041040 is a gapful number since it is divisible by the number (10) 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 1332041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464038720).

1332041040 is an abundant number, since it is smaller than the sum of its proper divisors (3596036400).

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

1332041040 is a wasteful number, since it uses less digits than its factorization.

1332041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1332041040 is about 36497.1374219952. The cubic root of 1332041040 is about 1100.2867131410.

Adding to 1332041040 its reverse (401402331), we get a palindrome (1733443371).

The spelling of 1332041040 in words is "one billion, three hundred thirty-two million, forty-one thousand, forty".