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1243893672 = 233571719283
BaseRepresentation
bin100101000100100…
…0100111110101000
310012200121100100000
41022021010332220
510021414044142
6323232543000
742552631110
oct11211047650
93180540300
101243893672
115891667aa
122a86b1a60
1316a922378
14bb2b8040
157430b14c
hex4a244fa8

1243893672 has 384 divisors, whose sum is σ = 4465843200. Its totient is φ = 315767808.

The previous prime is 1243893671. The next prime is 1243893683. The reversal of 1243893672 is 2763983421.

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 (1243893671) 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 95 ways as a sum of consecutive naturals, for example, 4395243 + ... + 4395525.

It is an arithmetic number, because the mean of its divisors is an integer number (11629800).

Almost surely, 21243893672 is an apocalyptic number.

1243893672 is a gapful number since it is divisible by the number (12) 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 1243893672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232921600).

1243893672 is an abundant number, since it is smaller than the sum of its proper divisors (3221949528).

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

1243893672 is a wasteful number, since it uses less digits than its factorization.

1243893672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1243893672 is about 35268.8768179538. The cubic root of 1243893672 is about 1075.4603896408.

The spelling of 1243893672 in words is "one billion, two hundred forty-three million, eight hundred ninety-three thousand, six hundred seventy-two".