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4084408368 = 243346120509
BaseRepresentation
bin1111001101110011…
…0010000000110000
3101112122112102222000
43303130302000300
531331102031433
61513143014000
7203133620055
oct36334620060
911478472860
104084408368
1118065a6507
1295ba3a300
135012664b1
142aa64702c
1518d89a113
hexf3732030

4084408368 has 80 divisors (see below), whose sum is σ = 11749768800. Its totient is φ = 1358449920.

The previous prime is 4084408331. The next prime is 4084408403. The reversal of 4084408368 is 8638044804.

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, 188898 + ... + 209406.

It is an arithmetic number, because the mean of its divisors is an integer number (146872110).

Almost surely, 24084408368 is an apocalyptic number.

4084408368 is a gapful number since it is divisible by the number (48) 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 4084408368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874884400).

4084408368 is an abundant number, since it is smaller than the sum of its proper divisors (7665360432).

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

4084408368 is a wasteful number, since it uses less digits than its factorization.

4084408368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20987 (or 20975 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4084408368 is about 63909.3762135103. The cubic root of 4084408368 is about 1598.4892468813.

The spelling of 4084408368 in words is "four billion, eighty-four million, four hundred eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 461 922 1383 1844 2766 3688 4149 5532 7376 8298 11064 12447 16596 20509 22128 24894 33192 41018 49788 61527 66384 82036 99576 123054 164072 184581 199152 246108 328144 369162 492216 553743 738324 984432 1107486 1476648 2214972 2953296 4429944 8859888 9454649 18909298 28363947 37818596 56727894 75637192 85091841 113455788 151274384 170183682 226911576 255275523 340367364 453823152 510551046 680734728 1021102092 1361469456 2042204184 4084408368