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424344024306 = 232114689205553
BaseRepresentation
bin1100010110011001101…
…11111111010011110010
31111120022021010221022200
412023030313333103302
523423024032234211
6522535125044030
742441432456546
oct6131467772362
91446267127280
10424344024306
11153a66159154
126a2a7b56616
1331027caa957
1416777391a26
15b088be2b56
hex62ccdff4f2

424344024306 has 24 divisors (see below), whose sum is σ = 919424542140. Its totient is φ = 141446086656.

The previous prime is 424344024277. The next prime is 424344024319. The reversal of 424344024306 is 603420443424.

424344024306 is a `hidden beast` number, since 4 + 2 + 4 + 344 + 0 + 2 + 4 + 306 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 259839965025 + 164504059281 = 509745^2 + 405591^2 .

It is a super-3 number, since 3×4243440243063 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1961626 + ... + 2167178.

Almost surely, 2424344024306 is an apocalyptic number.

424344024306 is an abundant number, since it is smaller than the sum of its proper divisors (495080517834).

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

424344024306 is a wasteful number, since it uses less digits than its factorization.

424344024306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320250 (or 320247 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The spelling of 424344024306 in words is "four hundred twenty-four billion, three hundred forty-four million, twenty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 18 114689 205553 229378 344067 411106 616659 688134 1032201 1233318 1849977 2064402 3699954 23574668017 47149336034 70724004051 141448008102 212172012153 424344024306