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3829383376 = 2471331372293
BaseRepresentation
bin1110010000111111…
…1100000011010000
3100212212122211102221
43210033330003100
530320310232001
61431552550424
7163616136010
oct34417740320
910785584387
103829383376
111695650455
128aa552414
13490484830
1428481dc40
151762c21a1
hexe43fc0d0

3829383376 has 160 divisors (see below), whose sum is σ = 9685157888. Its totient is φ = 1425807360.

The previous prime is 3829383343. The next prime is 3829383403. The reversal of 3829383376 is 6733839283.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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, 1668886 + ... + 1671178.

Almost surely, 23829383376 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 3829383376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842578944).

3829383376 is an abundant number, since it is smaller than the sum of its proper divisors (5855774512).

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

3829383376 is a wasteful number, since it uses less digits than its factorization.

3829383376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2383 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 52.

The square root of 3829383376 is about 61882.0117320050. The cubic root of 3829383376 is about 1564.5025759081.

The spelling of 3829383376 in words is "three billion, eight hundred twenty-nine million, three hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 37 52 56 62 74 91 104 112 124 148 182 208 217 248 259 296 364 403 434 481 496 518 592 728 806 868 962 1036 1147 1456 1612 1736 1924 2072 2293 2294 2821 3224 3367 3472 3848 4144 4586 4588 5642 6448 6734 7696 8029 9172 9176 11284 13468 14911 16051 16058 18344 18352 22568 26936 29809 29822 32102 32116 36688 45136 53872 59618 59644 64204 64232 71083 84841 104377 119236 119288 128408 128464 142166 169682 208663 208754 238472 238576 256816 284332 339364 417326 417508 476944 497581 568664 593887 678728 834652 835016 924079 995162 1102933 1137328 1187774 1357456 1669304 1670032 1848158 1990324 2205866 2375548 2630071 3338608 3696316 3980648 4411732 4751096 5260142 6468553 7392632 7720531 7961296 8823464 9502192 10520284 12937106 14785264 15441062 17646928 18410497 21040568 25874212 30882124 34190923 36820994 42081136 51748424 61764248 68381846 73641988 103496848 123528496 136763692 147283976 239336461 273527384 294567952 478672922 547054768 957345844 1914691688 3829383376