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1838430000 = 24335411619
BaseRepresentation
bin110110110010100…
…0011011100110000
311202010022220212000
41231211003130300
512231114230000
6502231534000
763362253141
oct15545033460
94663286760
101838430000
11863822740
1243382a300
13233b57104
1413623bac8
15ab5ea000
hex6d943730

1838430000 has 400 divisors, whose sum is σ = 7205193600. Its totient is φ = 444960000.

The previous prime is 1838429993. The next prime is 1838430007. The reversal of 1838430000 is 348381.

It is an interprime number because it is at equal distance from previous prime (1838429993) and next prime (1838430007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1838430007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2969691 + ... + 2970309.

It is an arithmetic number, because the mean of its divisors is an integer number (18012984).

Almost surely, 21838430000 is an apocalyptic number.

1838430000 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 1838430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602596800).

1838430000 is an abundant number, since it is smaller than the sum of its proper divisors (5366763600).

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

1838430000 is a wasteful number, since it uses less digits than its factorization.

1838430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1838430000 is about 42876.9168667711. The cubic root of 1838430000 is about 1225.0365114760.

Adding to 1838430000 its reverse (348381), we get a palindrome (1838778381).

It can be divided in two parts, 18384 and 30000, that added together give a palindrome (48384).

The spelling of 1838430000 in words is "one billion, eight hundred thirty-eight million, four hundred thirty thousand".