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4002000306 = 237388710301
BaseRepresentation
bin1110111010001001…
…1010110110110010
3101022220110200100120
43232202122312302
531144003002211
61501040431110
7201113304243
oct35642326662
911286420316
104002000306
111774030077
12938318496
134ba172025
1429d714cca
1518651cd06
hexee89adb2

4002000306 has 32 divisors (see below), whose sum is σ = 8123580288. Its totient is φ = 1314115200.

The previous prime is 4002000281. The next prime is 4002000307. The reversal of 4002000306 is 6030002004.

It is not an unprimeable number, because it can be changed into a prime (4002000307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383356 + ... + 393656.

It is an arithmetic number, because the mean of its divisors is an integer number (253861884).

Almost surely, 24002000306 is an apocalyptic number.

4002000306 is an abundant number, since it is smaller than the sum of its proper divisors (4121579982).

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

4002000306 is a wasteful number, since it uses less digits than its factorization.

4002000306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11266.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4002000306 is about 63261.3650342766. The cubic root of 4002000306 is about 1587.6656151932.

The spelling of 4002000306 in words is "four billion, two million, three hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 73 146 219 438 887 1774 2661 5322 10301 20602 30903 61806 64751 129502 194253 388506 751973 1503946 2255919 4511838 9136987 18273974 27410961 54821922 667000051 1334000102 2001000153 4002000306