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4030001327 = 1119232928909
BaseRepresentation
bin1111000000110100…
…1111000010101111
3101101212011021112102
43300031033002233
531223140020302
61503520525315
7201603306002
oct36015170257
911355137472
104030001327
111788915710
1294578083b
134c2bc7191
142a3323539
15188bee702
hexf034f0af

4030001327 has 32 divisors (see below), whose sum is σ = 4995648000. Its totient is φ = 3205319040.

The previous prime is 4030001273. The next prime is 4030001341. The reversal of 4030001327 is 7231000304.

It is not a de Polignac number, because 4030001327 - 220 = 4028952751 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4030001299 and 4030001308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4030001527) 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 31 ways as a sum of consecutive naturals, for example, 124949 + ... + 153857.

It is an arithmetic number, because the mean of its divisors is an integer number (156114000).

Almost surely, 24030001327 is an apocalyptic number.

4030001327 is a deficient number, since it is larger than the sum of its proper divisors (965646673).

4030001327 is a wasteful number, since it uses less digits than its factorization.

4030001327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28991.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 4030001327 is about 63482.2914441500. The cubic root of 4030001327 is about 1591.3598491424.

The spelling of 4030001327 in words is "four billion, thirty million, one thousand, three hundred twenty-seven".

Divisors: 1 11 19 23 29 209 253 319 437 551 667 4807 6061 7337 12673 28909 139403 317999 549271 664907 838361 6041981 7313977 9221971 12633233 15928859 19282303 138965563 175217449 212105333 366363757 4030001327