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3001349988 = 22327137911597
BaseRepresentation
bin1011001011100100…
…1111011101100100
321202011120101011200
42302321033131210
522121321144423
61213453202500
7134243024340
oct26271173544
97664511150
103001349988
11130020273a
126b9190430
1338aa67b50
14206878620
1512875dd43
hexb2e4f764

3001349988 has 144 divisors (see below), whose sum is σ = 9456545280. Its totient is φ = 781477632.

The previous prime is 3001349987. The next prime is 3001350007. The reversal of 3001349988 is 8899431003.

It is not an unprimeable number, because it can be changed into a prime (3001349987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253006 + ... + 264602.

Almost surely, 23001349988 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 3001349988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728272640).

3001349988 is an abundant number, since it is smaller than the sum of its proper divisors (6455195292).

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

3001349988 is a wasteful number, since it uses less digits than its factorization.

3001349988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11706 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3001349988 is about 54784.5780124297. The cubic root of 3001349988 is about 1442.4658733780.

The spelling of 3001349988 in words is "three billion, one million, three hundred forty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 79 84 91 117 126 156 158 182 234 237 252 273 316 364 468 474 546 553 711 819 948 1027 1092 1106 1422 1638 1659 2054 2212 2844 3081 3276 3318 4108 4977 6162 6636 7189 9243 9954 11597 12324 14378 18486 19908 21567 23194 28756 34791 36972 43134 46388 64701 69582 81179 86268 104373 129402 139164 150761 162358 208746 243537 258804 301522 324716 417492 452283 487074 603044 730611 904566 916163 974148 1055327 1356849 1461222 1809132 1832326 2110654 2713698 2748489 2922444 3165981 3664652 4221308 5427396 5496978 6331962 6413141 8245467 9497943 10993956 11910119 12663924 12826282 16490934 18995886 19239423 23820238 25652564 32981868 35730357 37991772 38478846 47640476 57718269 71460714 76957692 83370833 107191071 115436538 142921428 166741666 214382142 230873076 250112499 333483332 428764284 500224998 750337497 1000449996 1500674994 3001349988