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3304314240 = 273510631619
BaseRepresentation
bin1100010011110011…
…1101010110000000
322112021122112222220
43010330331112000
523231401023430
61303514531040
7144612131133
oct30474752600
98467575886
103304314240
111446221217
12782736a80
13408762c36
14234bc021a
15145156110
hexc4f3d580

3304314240 has 128 divisors (see below), whose sum is σ = 10548921600. Its totient is φ = 879777792.

The previous prime is 3304314217. The next prime is 3304314253. The reversal of 3304314240 is 424134033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3304314240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040151 + ... + 2041769.

It is an arithmetic number, because the mean of its divisors is an integer number (82413450).

Almost surely, 23304314240 is an apocalyptic number.

3304314240 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 3304314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274460800).

3304314240 is an abundant number, since it is smaller than the sum of its proper divisors (7244607360).

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

3304314240 is a wasteful number, since it uses less digits than its factorization.

3304314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3304314240 is about 57483.1648398033. The cubic root of 3304314240 is about 1489.4540648170.

Adding to 3304314240 its reverse (424134033), we get a palindrome (3728448273).

The spelling of 3304314240 in words is "three billion, three hundred four million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1063 1619 1920 2126 3189 3238 4252 4857 5315 6378 6476 8095 8504 9714 10630 12756 12952 15945 16190 17008 19428 21260 24285 25512 25904 31890 32380 34016 38856 42520 48570 51024 51808 63780 64760 68032 77712 85040 97140 102048 103616 127560 129520 136064 155424 170080 194280 204096 207232 255120 259040 310848 340160 388560 408192 510240 518080 621696 680320 777120 1020480 1036160 1554240 1720997 2040960 3108480 3441994 5162991 6883988 8604985 10325982 13767976 17209970 20651964 25814955 27535952 34419940 41303928 51629910 55071904 68839880 82607856 103259820 110143808 137679760 165215712 206519640 220287616 275359520 330431424 413039280 550719040 660862848 826078560 1101438080 1652157120 3304314240