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3830115384 = 2332375327127
BaseRepresentation
bin1110010001001010…
…1110110000111000
3100212221001000120100
43210102232300320
530321002143014
61432020355400
7163625305104
oct34422566070
910787030510
103830115384
111696000417
128aa845b60
1349067ca84
14284970904
151763b9009
hexe44aec38

3830115384 has 96 divisors (see below), whose sum is σ = 10854997920. Its totient is φ = 1218716928.

The previous prime is 3830115383. The next prime is 3830115413. The reversal of 3830115384 is 4835110383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830115383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127629 + ... + 154755.

It is an arithmetic number, because the mean of its divisors is an integer number (113072895).

Almost surely, 23830115384 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 3830115384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5427498960).

3830115384 is an abundant number, since it is smaller than the sum of its proper divisors (7024882536).

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

3830115384 is a wasteful number, since it uses less digits than its factorization.

3830115384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27229 (or 27222 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3830115384 is about 61887.9259953022. The cubic root of 3830115384 is about 1564.6022573559.

The spelling of 3830115384 in words is "three billion, eight hundred thirty million, one hundred fifteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 53 72 74 106 111 148 159 212 222 296 318 333 424 444 477 636 666 888 954 1272 1332 1908 1961 2664 3816 3922 5883 7844 11766 15688 17649 23532 27127 35298 47064 54254 70596 81381 108508 141192 162762 217016 244143 325524 488286 651048 976572 1003699 1437731 1953144 2007398 2875462 3011097 4014796 4313193 5750924 6022194 8029592 8626386 9033291 11501848 12044388 12939579 17252772 18066582 24088776 25879158 34505544 36133164 51758316 53196047 72266328 103516632 106392094 159588141 212784188 319176282 425568376 478764423 638352564 957528846 1276705128 1915057692 3830115384