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3906832384 = 21171320963
BaseRepresentation
bin1110100011011101…
…1000100000000000
3101002021101122111201
43220313120200000
531000122114014
61443400550544
7165546345610
oct35067304000
911067348451
103906832384
111725339aa4
12910482454
134a3530a50
14290c20a40
1517cebee74
hexe8dd8800

3906832384 has 96 divisors (see below), whose sum is σ = 9614928960. Its totient is φ = 1545486336.

The previous prime is 3906832379. The next prime is 3906832387. The reversal of 3906832384 is 4832386093.

It is a super-2 number, since 2×39068323842 = 30526678553342246912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3906832387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175887 + ... + 196849.

It is an arithmetic number, because the mean of its divisors is an integer number (100155510).

Almost surely, 23906832384 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 3906832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807464480).

3906832384 is an abundant number, since it is smaller than the sum of its proper divisors (5708096576).

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

3906832384 is a wasteful number, since it uses less digits than its factorization.

3906832384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21005 (or 20985 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 3906832384 is about 62504.6588983573. The cubic root of 3906832384 is about 1574.9795759844.

The spelling of 3906832384 in words is "three billion, nine hundred six million, eight hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2912 3328 3584 5824 6656 7168 11648 13312 14336 20963 23296 26624 41926 46592 83852 93184 146741 167704 186368 272519 293482 335408 545038 586964 670816 1090076 1173928 1341632 1907633 2180152 2347856 2683264 3815266 4360304 4695712 5366528 7630532 8720608 9391424 10733056 15261064 17441216 18782848 21466112 30522128 34882432 37565696 42932224 61044256 69764864 75131392 122088512 139529728 150262784 244177024 279059456 300525568 488354048 558118912 976708096 1953416192 3906832384