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4349779434 = 2337111380471
BaseRepresentation
bin1000000110100010…
…00101110111101010
3102020010212200122000
410003101011313222
532402020420214
61555342511430
7212535341460
oct40321056752
912203780560
104349779434
111932378740
12a14895576
1354422b3b0
142d39a4830
151a6d18809
hex103445dea

4349779434 has 128 divisors (see below), whose sum is σ = 12978524160. Its totient is φ = 1042891200.

The previous prime is 4349779417. The next prime is 4349779451.

4349779434 is a `hidden beast` number, since 43 + 497 + 79 + 43 + 4 = 666.

4349779434 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4349779417) and next prime (4349779451).

It is a super-2 number, since 2×43497794342 = 37841162248898720712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13819 + ... + 94289.

It is an arithmetic number, because the mean of its divisors is an integer number (101394720).

Almost surely, 24349779434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4349779434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489262080).

4349779434 is an abundant number, since it is smaller than the sum of its proper divisors (8628744726).

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

4349779434 is a wasteful number, since it uses less digits than its factorization.

4349779434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80513 (or 80507 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 4349779434 is about 65952.8576636373. The cubic root of 4349779434 is about 1632.3843101752.

The spelling of 4349779434 in words is "four billion, three hundred forty-nine million, seven hundred seventy-nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 378 429 462 546 594 693 702 819 858 1001 1287 1386 1638 2002 2079 2457 2574 3003 3861 4158 4914 6006 7722 9009 18018 27027 54054 80471 160942 241413 482826 563297 724239 885181 1046123 1126594 1448478 1689891 1770362 2092246 2172717 2655543 3138369 3379782 4345434 5069673 5311086 6196267 6276738 7322861 7966629 9415107 10139346 11507353 12392534 14645722 15209019 15933258 18588801 18830214 21968583 23014706 23899887 28245321 30418038 34522059 37177602 43937166 47799774 55766403 56490642 65905749 69044118 80551471 103566177 111532806 131811498 161102942 167299209 197717247 207132354 241654413 310698531 334598418 395434494 483308826 621397062 724963239 1449926478 2174889717 4349779434