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1840142304 = 2532711132491
BaseRepresentation
bin110110110101110…
…0101011111100000
311202020112220200200
41231223211133200
512232034023204
6502332345200
763412644240
oct15553453740
94666486620
101840142304
11864792170
12434315200
13234306600
14136565b20
15ab837539
hex6dae57e0

1840142304 has 432 divisors, whose sum is σ = 7078990464. Its totient is φ = 440294400.

The previous prime is 1840142281. The next prime is 1840142309. The reversal of 1840142304 is 4032410481.

It is a super-2 number, since 2×18401423042 = 6772247397940856832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1840142309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3747499 + ... + 3747989.

It is an arithmetic number, because the mean of its divisors is an integer number (16386552).

Almost surely, 21840142304 is an apocalyptic number.

1840142304 is a gapful number since it is divisible by the number (14) 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 1840142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539495232).

1840142304 is an abundant number, since it is smaller than the sum of its proper divisors (5238848160).

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

1840142304 is a wasteful number, since it uses less digits than its factorization.

1840142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1840142304 is about 42896.8798865372. The cubic root of 1840142304 is about 1225.4167243049.

Adding to 1840142304 its reverse (4032410481), we get a palindrome (5872552785).

The spelling of 1840142304 in words is "one billion, eight hundred forty million, one hundred forty-two thousand, three hundred four".