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241300320400 = 2452603250801
BaseRepresentation
bin1110000010111010011…
…1101011000010010000
3212001211122010100020201
43200232213223002100
512423140340223100
6302503555144544
723301434611246
oct3405647530220
9761748110221
10241300320400
11933758161a7
123a922ba5154
13199a68bc499
14b971254796
1564241b136a
hex382e9eb090

241300320400 has 30 divisors (see below), whose sum is σ = 579724020722. Its totient is φ = 96520128000.

The previous prime is 241300320389. The next prime is 241300320409. The reversal of 241300320400 is 4023003142.

It can be written as a sum of positive squares in 3 ways, for example, as 3675269376 + 237625051024 = 60624^2 + 487468^2 .

It is not an unprimeable number, because it can be changed into a prime (241300320409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 301625001 + ... + 301625800.

Almost surely, 2241300320400 is an apocalyptic number.

241300320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241300320400 is an abundant number, since it is smaller than the sum of its proper divisors (338423700322).

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

241300320400 is a wasteful number, since it uses less digits than its factorization.

241300320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603250819 (or 603250808 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 241300320400 its reverse (4023003142), we get a palindrome (245323323542).

The spelling of 241300320400 in words is "two hundred forty-one billion, three hundred million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 603250801 1206501602 2413003204 3016254005 4826006408 6032508010 9652012816 12065016020 15081270025 24130032040 30162540050 48260064080 60325080100 120650160200 241300320400