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3818322080 = 255193121307
BaseRepresentation
bin1110001110010110…
…1111100010100000
3100212002211212012022
43203211233202200
530304442301310
61430515521012
7163423126226
oct34345574240
910762755168
103818322080
11168a385991
128a68b9168
1348b0b0ba1
14283180b16
15175339a55
hexe396f8a0

3818322080 has 144 divisors (see below), whose sum is σ = 9819260640. Its totient is φ = 1399196160.

The previous prime is 3818322059. The next prime is 3818322083. The reversal of 3818322080 is 802238183.

It is a happy number.

3818322080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3818322080.

It is not an unprimeable number, because it can be changed into a prime (3818322083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2920787 + ... + 2922093.

It is an arithmetic number, because the mean of its divisors is an integer number (68189310).

Almost surely, 23818322080 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 3818322080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909630320).

3818322080 is an abundant number, since it is smaller than the sum of its proper divisors (6000938560).

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

3818322080 is a wasteful number, since it uses less digits than its factorization.

3818322080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 3818322080 is about 61792.5730165042. The cubic root of 3818322080 is about 1562.9947513143.

The spelling of 3818322080 in words is "three billion, eight hundred eighteen million, three hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 76 80 95 124 152 155 160 190 248 304 310 380 496 589 608 620 760 961 992 1178 1240 1307 1520 1922 2356 2480 2614 2945 3040 3844 4712 4805 4960 5228 5890 6535 7688 9424 9610 10456 11780 13070 15376 18259 18848 19220 20912 23560 24833 26140 30752 36518 38440 40517 41824 47120 49666 52280 73036 76880 81034 91295 94240 99332 104560 124165 146072 153760 162068 182590 198664 202585 209120 248330 292144 324136 365180 397328 405170 496660 584288 648272 730360 769823 794656 810340 993320 1256027 1296544 1460720 1539646 1620680 1986640 2512054 2921440 3079292 3241360 3849115 3973280 5024108 6158584 6280135 6482720 7698230 10048216 12317168 12560270 15396460 20096432 23864513 24634336 25120540 30792920 40192864 47729026 50241080 61585840 95458052 100482160 119322565 123171680 190916104 200964320 238645130 381832208 477290260 763664416 954580520 1909161040 3818322080