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1468067328 = 2934713389
BaseRepresentation
bin101011110000000…
…1110111000000000
310210022102112210000
41113200032320000
511001311123303
6401401440000
751244236450
oct12740167000
93708375700
101468067328
1169375a792
1234b7a0000
131a51c16c0
14dcd8dd60
1588d3cda3
hex5780ee00

1468067328 has 400 divisors, whose sum is σ = 5406841440. Its totient is φ = 386187264.

The previous prime is 1468067327. The next prime is 1468067333. The reversal of 1468067328 is 8237608641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468067327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3773758 + ... + 3774146.

Almost surely, 21468067328 is an apocalyptic number.

1468067328 is a gapful number since it is divisible by the number (18) 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 1468067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703420720).

1468067328 is an abundant number, since it is smaller than the sum of its proper divisors (3938774112).

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

1468067328 is an equidigital number, since it uses as much as digits as its factorization.

1468067328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1468067328 is about 38315.3667345101. The cubic root of 1468067328 is about 1136.5328453130.

The spelling of 1468067328 in words is "one billion, four hundred sixty-eight million, sixty-seven thousand, three hundred twenty-eight".