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3138338028 = 2237109353971
BaseRepresentation
bin1011101100001111…
…0011110011101100
322002201100002102210
42323003303303230
522411403304103
61235225250420
7140525301360
oct27303636354
98081302383
103138338028
1113705678a1
12737033a10
133b025c267
1421ab372a0
151357bce03
hexbb0f3cec

3138338028 has 96 divisors (see below), whose sum is σ = 8478328320. Its totient is φ = 885012480.

The previous prime is 3138337997. The next prime is 3138338069. The reversal of 3138338028 is 8208338313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3231583 + ... + 3232553.

It is an arithmetic number, because the mean of its divisors is an integer number (88315920).

Almost surely, 23138338028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138338028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239164160).

3138338028 is an abundant number, since it is smaller than the sum of its proper divisors (5339990292).

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

3138338028 is a wasteful number, since it uses less digits than its factorization.

3138338028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3138338028 is about 56020.8713605920. The cubic root of 3138338028 is about 1464.0859504168.

The spelling of 3138338028 in words is "three billion, one hundred thirty-eight million, three hundred thirty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 353 436 654 706 763 971 1059 1308 1412 1526 1942 2118 2289 2471 2913 3052 3884 4236 4578 4942 5826 6797 7413 9156 9884 11652 13594 14826 20391 27188 29652 38477 40782 76954 81564 105839 115431 153908 211678 230862 269339 317517 342763 423356 461724 538678 635034 685526 740873 808017 1028289 1077356 1270068 1371052 1481746 1616034 2056578 2222619 2399341 2963492 3232068 4113156 4445238 4798682 7198023 8890476 9597364 14396046 28792092 37361167 74722334 112083501 149444668 224167002 261528169 448334004 523056338 784584507 1046112676 1569169014 3138338028