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348330234024 = 23324837919917
BaseRepresentation
bin1010001000110100001…
…10011001000010101000
31020022002201210022001200
411010122012121002220
521201340014442044
6424004245444200
734110643064613
oct5043206310250
91208081708050
10348330234024
111247a9377473
1257613110660
1326b02979716
1412c05bbb17a
1590da673369
hex511a1990a8

348330234024 has 24 divisors (see below), whose sum is σ = 943394384010. Its totient is φ = 116110077984.

The previous prime is 348330233957. The next prime is 348330234029. The reversal of 348330234024 is 420432033843.

348330234024 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 302 + 340 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 289033113924 + 59297120100 = 537618^2 + 243510^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 348330234024.

It is not an unprimeable number, because it can be changed into a prime (348330234029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2418959887 + ... + 2418960030.

Almost surely, 2348330234024 is an apocalyptic number.

It is an amenable number.

348330234024 is an abundant number, since it is smaller than the sum of its proper divisors (595064149986).

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

348330234024 is a wasteful number, since it uses less digits than its factorization.

348330234024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837919929 (or 4837919922 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 348330234024 its reverse (420432033843), we get a palindrome (768762267867).

The spelling of 348330234024 in words is "three hundred forty-eight billion, three hundred thirty million, two hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4837919917 9675839834 14513759751 19351679668 29027519502 38703359336 43541279253 58055039004 87082558506 116110078008 174165117012 348330234024