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3000490320 = 243527146133
BaseRepresentation
bin1011001011010111…
…1101100101010000
321202002221200221010
42302311331211100
522121111142240
61213422530520
7134232514122
oct26265754520
97662850833
103000490320
1112aa775873
126b8a36a40
1338a826779
142066d3212
1512863e280
hexb2d7d950

3000490320 has 80 divisors (see below), whose sum is σ = 9336045312. Its totient is φ = 797160960.

The previous prime is 3000490309. The next prime is 3000490333. The reversal of 3000490320 is 230940003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41974 + ... + 88106.

Almost surely, 23000490320 is an apocalyptic number.

3000490320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000490320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668022656).

3000490320 is an abundant number, since it is smaller than the sum of its proper divisors (6335554992).

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

3000490320 is a wasteful number, since it uses less digits than its factorization.

3000490320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46420 (or 46414 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3000490320 is about 54776.7315563826. The cubic root of 3000490320 is about 1442.3281397837.

The spelling of 3000490320 in words is "three billion, four hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 271 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 10840 13008 16260 21680 32520 46133 65040 92266 138399 184532 230665 276798 369064 461330 553596 691995 738128 922660 1107192 1383990 1845320 2214384 2767980 3690640 5535960 11071920 12502043 25004086 37506129 50008172 62510215 75012258 100016344 125020430 150024516 187530645 200032688 250040860 300049032 375061290 500081720 600098064 750122580 1000163440 1500245160 3000490320