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1332387168 = 253737411307
BaseRepresentation
bin100111101101010…
…1001110101100000
310102212010021120220
41033122221311200
510212042342133
6340113403040
745006050460
oct11732516540
93385107526
101332387168
11624109222
12312269480
13183067698
14c8d51ba0
157be8b5b3
hex4f6a9d60

1332387168 has 192 divisors, whose sum is σ = 4208537088. Its totient is φ = 361082880.

The previous prime is 1332387163. The next prime is 1332387197. The reversal of 1332387168 is 8617832331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332387163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018771 + ... + 1020077.

It is an arithmetic number, because the mean of its divisors is an integer number (21919464).

Almost surely, 21332387168 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 1332387168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104268544).

1332387168 is an abundant number, since it is smaller than the sum of its proper divisors (2876149920).

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

1332387168 is a wasteful number, since it uses less digits than its factorization.

1332387168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1397 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 1332387168 is about 36501.8789653355. The cubic root of 1332387168 is about 1100.3820072663.

The spelling of 1332387168 in words is "one billion, three hundred thirty-two million, three hundred eighty-seven thousand, one hundred sixty-eight".