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3830526414 = 23211134731663
BaseRepresentation
bin1110010001010001…
…0011000111001110
3100212221210220101200
43210110103013032
530321103321124
61432033250330
7163631636331
oct34424230716
910787726350
103830526414
111696261210
128aaa039a6
13490794ba0
14284a3a618
1517644abc9
hexe45131ce

3830526414 has 96 divisors (see below), whose sum is σ = 9958201344. Its totient is φ = 1048645440.

The previous prime is 3830526389. The next prime is 3830526433. The reversal of 3830526414 is 4146250383.

3830526414 is a `hidden beast` number, since 3 + 8 + 3 + 0 + 5 + 2 + 641 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105147 + ... + 136809.

It is an arithmetic number, because the mean of its divisors is an integer number (103731264).

Almost surely, 23830526414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3830526414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979100672).

3830526414 is an abundant number, since it is smaller than the sum of its proper divisors (6127674930).

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

3830526414 is a wasteful number, since it uses less digits than its factorization.

3830526414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31742 (or 31739 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3830526414 is about 61891.2466670369. The cubic root of 3830526414 is about 1564.6582239433.

Adding to 3830526414 its reverse (4146250383), we get a palindrome (7976776797).

The spelling of 3830526414 in words is "three billion, eight hundred thirty million, five hundred twenty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 47 66 78 94 99 117 141 143 198 234 282 286 423 429 517 611 846 858 1034 1222 1287 1551 1833 2574 3102 3666 4653 5499 6721 9306 10998 13442 20163 31663 40326 60489 63326 94989 120978 189978 284967 348293 411619 569934 696586 823238 1044879 1234857 1488161 2089758 2469714 2976322 3134637 3704571 4464483 4527809 6269274 7409142 8928966 9055618 13393449 13583427 16369771 19346093 26786898 27166854 32739542 38692186 40750281 49109313 58038279 81500562 98218626 116076558 147327939 174114837 212807023 294655878 348229674 425614046 638421069 1276842138 1915263207 3830526414