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990230400 = 27335273157
BaseRepresentation
bin111011000001011…
…011011110000000
32120000021220202000
4323001123132000
54011444333100
6242132024000
733352551045
oct7301333600
92500256660
10990230400
11468a60835
12237762000
1312a1c9463
14957271cc
155be01900
hex3b05b780

990230400 has 384 divisors, whose sum is σ = 3697010400. Its totient is φ = 258785280.

The previous prime is 990230389. The next prime is 990230407. The reversal of 990230400 is 4032099.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990230407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6307122 + ... + 6307278.

Almost surely, 2990230400 is an apocalyptic number.

990230400 is a gapful number since it is divisible by the number (90) 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 990230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848505200).

990230400 is an abundant number, since it is smaller than the sum of its proper divisors (2706780000).

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

990230400 is a wasteful number, since it uses less digits than its factorization.

990230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 990230400 is about 31467.9265284512. The cubic root of 990230400 is about 996.7328037204.

Adding to 990230400 its reverse (4032099), we get a palindrome (994262499).

The spelling of 990230400 in words is "nine hundred ninety million, two hundred thirty thousand, four hundred".