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3821064240 = 2435712717909
BaseRepresentation
bin1110001111000000…
…1101000000110000
3100212022000011201210
43203300031000300
530311143023430
61431054400120
7163455336660
oct34360150060
910768004653
103821064240
111690989134
128a7800040
1348b831076
142836961a0
151756cc2b0
hexe3c0d030

3821064240 has 160 divisors (see below), whose sum is σ = 13644840960. Its totient is φ = 866460672.

The previous prime is 3821064209. The next prime is 3821064251. The reversal of 3821064240 is 424601283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3821064198 and 3821064207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204406 + ... + 222314.

It is an arithmetic number, because the mean of its divisors is an integer number (85280256).

Almost surely, 23821064240 is an apocalyptic number.

3821064240 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 3821064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822420480).

3821064240 is an abundant number, since it is smaller than the sum of its proper divisors (9823776720).

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

3821064240 is a wasteful number, since it uses less digits than its factorization.

3821064240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18059 (or 18053 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3821064240 is about 61814.7574613053. The cubic root of 3821064240 is about 1563.3688210411.

The spelling of 3821064240 in words is "three billion, eight hundred twenty-one million, sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 127 140 168 210 240 254 280 336 381 420 508 560 635 762 840 889 1016 1270 1524 1680 1778 1905 2032 2540 2667 3048 3556 3810 4445 5080 5334 6096 7112 7620 8890 10160 10668 13335 14224 15240 17780 17909 21336 26670 30480 35560 35818 42672 53340 53727 71120 71636 89545 106680 107454 125363 143272 179090 213360 214908 250726 268635 286544 358180 376089 429816 501452 537270 626815 716360 752178 859632 1002904 1074540 1253630 1432720 1504356 1880445 2005808 2149080 2274443 2507260 3008712 3760890 4298160 4548886 5014520 6017424 6823329 7521780 9097772 10029040 11372215 13646658 15043560 15921101 18195544 22744430 27293316 30087120 31842202 34116645 36391088 45488860 47763303 54586632 63684404 68233290 79605505 90977720 95526606 109173264 127368808 136466580 159211010 181955440 191053212 238816515 254737616 272933160 318422020 382106424 477633030 545866320 636844040 764212848 955266060 1273688080 1910532120 3821064240