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4349320404 = 22311134753927
BaseRepresentation
bin1000000110011110…
…10101110011010100
3102020010000100221220
410003033111303110
532401411223104
61555325010340
7212531420262
oct40317256324
912203010856
104349320404
111932094880
12a146b39b0
135440ca490
142d38c5432
151a6c777d9
hex1033d5cd4

4349320404 has 96 divisors (see below), whose sum is σ = 12176510976. Its totient is φ = 1190686080.

The previous prime is 4349320387. The next prime is 4349320411. The reversal of 4349320404 is 4040239434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 53689 + ... + 107615.

It is an arithmetic number, because the mean of its divisors is an integer number (126838656).

Almost surely, 24349320404 is an apocalyptic number.

4349320404 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 4349320404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088255488).

4349320404 is an abundant number, since it is smaller than the sum of its proper divisors (7827190572).

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

4349320404 is a wasteful number, since it uses less digits than its factorization.

4349320404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54005 (or 54003 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 4349320404 is about 65949.3775861456. The cubic root of 4349320404 is about 1632.3268865946.

Adding to 4349320404 its reverse (4040239434), we get a palindrome (8389559838).

The spelling of 4349320404 in words is "four billion, three hundred forty-nine million, three hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 47 52 66 78 94 132 141 143 156 188 282 286 429 517 564 572 611 858 1034 1222 1551 1716 1833 2068 2444 3102 3666 6204 6721 7332 13442 20163 26884 40326 53927 80652 107854 161781 215708 323562 593197 647124 701051 1186394 1402102 1779591 2103153 2372788 2534569 2804204 3559182 4206306 5069138 7118364 7603707 7711561 8412612 10138276 15207414 15423122 23134683 27880259 30414828 30846244 32949397 46269366 55760518 65898794 83640777 92538732 98848191 111521036 131797588 167281554 197696382 334563108 362443367 395392764 724886734 1087330101 1449773468 2174660202 4349320404