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4350013404 = 22311217091753
BaseRepresentation
bin1000000110100011…
…11110111111011100
3102020011022120120120
410003101332333130
532402100412104
61555351514540
7212540334552
oct40321767734
912204276516
104350013404
111932518500
12a14988a50
135442b0a39
142d3a25bd2
151a6d62cd9
hex10347efdc

4350013404 has 72 divisors (see below), whose sum is σ = 11169542160. Its totient is φ = 1316663040.

The previous prime is 4350013399. The next prime is 4350013433. The reversal of 4350013404 is 4043100534.

It is a super-2 number, since 2×43500134042 = 37845233229959334432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2480592 + ... + 2482344.

It is an arithmetic number, because the mean of its divisors is an integer number (155132530).

Almost surely, 24350013404 is an apocalyptic number.

4350013404 is a gapful number since it is divisible by the number (44) 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 4350013404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584771080).

4350013404 is an abundant number, since it is smaller than the sum of its proper divisors (6819528756).

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

4350013404 is a wasteful number, since it uses less digits than its factorization.

4350013404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4350013404 is about 65954.6314067481. The cubic root of 4350013404 is about 1632.4135777212.

Adding to 4350013404 its reverse (4043100534), we get a palindrome (8393113938).

The spelling of 4350013404 in words is "four billion, three hundred fifty million, thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 1709 1753 3418 3506 5127 5259 6836 7012 10254 10518 18799 19283 20508 21036 37598 38566 56397 57849 75196 77132 112794 115698 206789 212113 225588 231396 413578 424226 620367 636339 827156 848452 1240734 1272678 2481468 2545356 2995877 5991754 8987631 11983508 17975262 32954647 35950524 65909294 98863941 131818588 197727882 362501117 395455764 725002234 1087503351 1450004468 2175006702 4350013404