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4334430044 = 22723159107113
BaseRepresentation
bin1000000100101101…
…00010011101011100
3102012001222212020002
410002112202131130
532334103230134
61554033513432
7212261022200
oct40226423534
912161885202
104334430044
11192474449a
12a0b712878
13540cb5a09
142d192ab00
151a57d587e
hex1025a275c

4334430044 has 144 divisors (see below), whose sum is σ = 9431976960. Its totient is φ = 1735211520.

The previous prime is 4334430011. The next prime is 4334430053. The reversal of 4334430044 is 4400344334.

It is a junction number, because it is equal to n+sod(n) for n = 4334429989 and 4334430016.

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, 38357732 + ... + 38357844.

It is an arithmetic number, because the mean of its divisors is an integer number (65499840).

Almost surely, 24334430044 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 4334430044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715988480).

4334430044 is an abundant number, since it is smaller than the sum of its proper divisors (5097546916).

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

4334430044 is a wasteful number, since it uses less digits than its factorization.

4334430044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

The square root of 4334430044 is about 65836.3884489421. The cubic root of 4334430044 is about 1630.4619419151.

Adding to 4334430044 its reverse (4400344334), we get a palindrome (8734774378).

The spelling of 4334430044 in words is "four billion, three hundred thirty-four million, four hundred thirty thousand, forty-four".

Divisors: 1 2 4 7 14 28 31 49 59 62 98 107 113 118 124 196 214 217 226 236 413 428 434 452 749 791 826 868 1498 1519 1582 1652 1829 2891 2996 3038 3164 3317 3503 3658 5243 5537 5782 6076 6313 6634 6667 7006 7316 10486 11074 11564 12091 12626 12803 13268 13334 14012 20972 22148 23219 24182 24521 25252 25606 26668 44191 46438 46669 48364 49042 51212 84637 88382 89621 92876 93338 98084 162533 169274 171647 176764 179242 186676 195703 206677 309337 325066 326683 338548 343294 358484 374821 391406 413354 592459 618674 650132 653366 686588 713369 749642 782812 826708 1184918 1237348 1306732 1369921 1426738 1446739 1499284 2369836 2623747 2739842 2853476 2893478 4993583 5247494 5479684 5786956 9589447 9987166 10127173 10494988 18366229 19178894 19974332 20254346 22114439 34955081 36732458 38357788 40508692 44228878 69910162 73464916 88457756 139820324 154801073 309602146 619204292 1083607511 2167215022 4334430044