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3002314240 = 29517149463
BaseRepresentation
bin1011001011110011…
…1010111000000000
321202020101100212201
42302330322320000
522122043023430
61213530002544
7134254151512
oct26274727000
97666340781
103002314240
111300801142
126b9576454
1338b014a03
14206a49bb2
1512889e8ca
hexb2f3ae00

3002314240 has 160 divisors (see below), whose sum is σ = 7689686400. Its totient is φ = 1120272384.

The previous prime is 3002314229. The next prime is 3002314253. The reversal of 3002314240 is 424132003.

It is a tau number, because it is divible by the number of its divisors (160).

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, 6484249 + ... + 6484711.

It is an arithmetic number, because the mean of its divisors is an integer number (48060540).

Almost surely, 23002314240 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 3002314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844843200).

3002314240 is an abundant number, since it is smaller than the sum of its proper divisors (4687372160).

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

3002314240 is a wasteful number, since it uses less digits than its factorization.

3002314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3002314240 is about 54793.3777020545. The cubic root of 3002314240 is about 1442.6203318365.

Adding to 3002314240 its reverse (424132003), we get a palindrome (3426446243).

The spelling of 3002314240 in words is "three billion, two million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 149 160 170 256 272 298 320 340 463 512 544 596 640 680 745 926 1088 1192 1280 1360 1490 1852 2176 2315 2384 2533 2560 2720 2980 3704 4352 4630 4768 5066 5440 5960 7408 7871 8704 9260 9536 10132 10880 11920 12665 14816 15742 18520 19072 20264 21760 23840 25330 29632 31484 37040 38144 39355 40528 43520 47680 50660 59264 62968 68987 74080 76288 78710 81056 95360 101320 118528 125936 137974 148160 157420 162112 190720 202640 237056 251872 275948 296320 314840 324224 344935 381440 405280 503744 551896 592640 629680 648448 689870 810560 1007488 1103792 1172779 1185280 1259360 1296896 1379740 1621120 2014976 2207584 2345558 2518720 2759480 3242240 4029952 4415168 4691116 5037440 5518960 5863895 6484480 8830336 9382232 10074880 11037920 11727790 17660672 18764464 20149760 22075840 23455580 35321344 37528928 44151680 46911160 75057856 88303360 93822320 150115712 176606720 187644640 300231424 375289280 600462848 750578560 1501157120 3002314240