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3814665000 = 233542311057
BaseRepresentation
bin1110001101011111…
…0010101100101000
3100211211222001121220
43203113302230220
530303023240000
61430305302040
7163350055206
oct34327625450
910754861556
103814665000
111688308303
128a5634920
1348a400433
142828ac076
15174d661a0
hexe35f2b28

3814665000 has 160 divisors (see below), whose sum is σ = 12436269120. Its totient is φ = 972928000.

The previous prime is 3814664999. The next prime is 3814665013. The reversal of 3814665000 is 5664183.

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 39 ways as a sum of consecutive naturals, for example, 339472 + ... + 350528.

It is an arithmetic number, because the mean of its divisors is an integer number (77726682).

Almost surely, 23814665000 is an apocalyptic number.

3814665000 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 3814665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218134560).

3814665000 is an abundant number, since it is smaller than the sum of its proper divisors (8621604120).

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

3814665000 is a wasteful number, since it uses less digits than its factorization.

3814665000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11109 (or 11090 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3814665000 is about 61762.9743454766. The cubic root of 3814665000 is about 1562.4955946542.

The spelling of 3814665000 in words is "three billion, eight hundred fourteen million, six hundred sixty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 625 690 750 920 1000 1150 1250 1380 1500 1725 1875 2300 2500 2760 2875 3000 3450 3750 4600 5000 5750 6900 7500 8625 11057 11500 13800 14375 15000 17250 22114 23000 28750 33171 34500 43125 44228 55285 57500 66342 69000 86250 88456 110570 115000 132684 165855 172500 221140 254311 265368 276425 331710 345000 442280 508622 552850 663420 762933 829275 1017244 1105700 1271555 1326840 1382125 1525866 1658550 2034488 2211400 2543110 2764250 3051732 3317100 3814665 4146375 5086220 5528500 6103464 6357775 6634200 6910625 7629330 8292750 10172440 11057000 12715550 13821250 15258660 16585500 19073325 20731875 25431100 27642500 30517320 31788875 33171000 38146650 41463750 50862200 55285000 63577750 76293300 82927500 95366625 127155500 152586600 158944375 165855000 190733250 254311000 317888750 381466500 476833125 635777500 762933000 953666250 1271555000 1907332500 3814665000