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3002663004 = 22311103269821
BaseRepresentation
bin1011001011111001…
…0000000001011100
321202021001002021220
42302332100001130
522122140204004
61213541253340
7134260133355
oct26276200134
97667032256
103002663004
111300a1a180
126b9704250
1338b107693
14206adad2c
1512891cdd9
hexb2f9005c

3002663004 has 96 divisors (see below), whose sum is σ = 7755471360. Its totient is φ = 896620800.

The previous prime is 3002662973. The next prime is 3002663011. The reversal of 3002663004 is 4003662003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3656914 + ... + 3657734.

It is an arithmetic number, because the mean of its divisors is an integer number (80786160).

Almost surely, 23002663004 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 3002663004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877735680).

3002663004 is an abundant number, since it is smaller than the sum of its proper divisors (4752808356).

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

3002663004 is a wasteful number, since it uses less digits than its factorization.

3002663004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3002663004 is about 54796.5601475129. The cubic root of 3002663004 is about 1442.6761903638.

The spelling of 3002663004 in words is "three billion, two million, six hundred sixty-three thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 269 309 412 538 618 807 821 1076 1133 1236 1614 1642 2266 2463 2959 3228 3284 3399 4532 4926 5918 6798 8877 9031 9852 11836 13596 17754 18062 27093 27707 35508 36124 54186 55414 83121 84563 108372 110828 166242 169126 220849 253689 304777 332484 338252 441698 507378 609554 662547 883396 914331 930193 1014756 1219108 1325094 1828662 1860386 2429339 2650188 2790579 3657324 3720772 4858678 5581158 7288017 9717356 11162316 14576034 22747447 29152068 45494894 68242341 90989788 136484682 250221917 272969364 500443834 750665751 1000887668 1501331502 3002663004