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3884708240 = 24573672113
BaseRepresentation
bin1110011110001011…
…1111000110010000
3101000201202121212222
43213202333012100
530423441130430
61441250440212
7165160322000
oct34742770620
911021677788
103884708240
1117138a8886
12904b93068
1349ba8583a
1428bd02000
1517b09e9e5
hexe78bf190

3884708240 has 160 divisors (see below), whose sum is σ = 10695148800. Its totient is φ = 1311399936.

The previous prime is 3884708231. The next prime is 3884708263. The reversal of 3884708240 is 428074883.

It is a junction number, because it is equal to n+sod(n) for n = 3884708191 and 3884708200.

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 31 ways as a sum of consecutive naturals, for example, 1837424 + ... + 1839536.

It is an arithmetic number, because the mean of its divisors is an integer number (66844680).

Almost surely, 23884708240 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 3884708240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347574400).

3884708240 is an abundant number, since it is smaller than the sum of its proper divisors (6810440560).

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

3884708240 is a wasteful number, since it uses less digits than its factorization.

3884708240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The square root of 3884708240 is about 62327.4276703283. The cubic root of 3884708240 is about 1572.0009431371. Note that the first 3 decimals are identical.

The spelling of 3884708240 in words is "three billion, eight hundred eighty-four million, seven hundred eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 67 70 80 98 112 134 140 196 245 268 280 335 343 392 469 490 536 560 670 686 784 938 980 1072 1340 1372 1715 1876 1960 2113 2345 2680 2744 3283 3430 3752 3920 4226 4690 5360 5488 6566 6860 7504 8452 9380 10565 13132 13720 14791 16415 16904 18760 21130 22981 26264 27440 29582 32830 33808 37520 42260 45962 52528 59164 65660 73955 84520 91924 103537 114905 118328 131320 141571 147910 169040 183848 207074 229810 236656 262640 283142 295820 367696 414148 459620 517685 566284 591640 707855 724759 828296 919240 990997 1035370 1132568 1183280 1415710 1449518 1656592 1838480 1981994 2070740 2265136 2831420 2899036 3623795 3963988 4141480 4954985 5662840 5798072 6936979 7247590 7927976 8282960 9909970 11325680 11596144 13873958 14495180 15855952 19819940 27747916 28990360 34684895 39639880 48558853 55495832 57980720 69369790 79279760 97117706 110991664 138739580 194235412 242794265 277479160 388470824 485588530 554958320 776941648 971177060 1942354120 3884708240