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4344117804 = 2235131272707
BaseRepresentation
bin1000000101110110…
…11111101000101100
3102012202020001100000
410002323133220230
532344043232204
61555021304300
7212436251325
oct40273375054
912182201300
104344117804
11192a161004
12a12a05090
13542cc8410
142d2d2d44c
151a659b039
hex102edfa2c

4344117804 has 144 divisors (see below), whose sum is σ = 12364771328. Its totient is φ = 1325636928.

The previous prime is 4344117737. The next prime is 4344117851. The reversal of 4344117804 is 4087114434.

It is a happy number.

4344117804 is a `hidden beast` number, since 43 + 441 + 178 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1603419 + ... + 1606125.

Almost surely, 24344117804 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 4344117804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182385664).

4344117804 is an abundant number, since it is smaller than the sum of its proper divisors (8020653524).

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

4344117804 is a wasteful number, since it uses less digits than its factorization.

4344117804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4344117804 is about 65909.9218934448. The cubic root of 4344117804 is about 1631.6757709055.

The spelling of 4344117804 in words is "four billion, three hundred forty-four million, one hundred seventeen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 127 156 162 234 243 254 324 351 381 468 486 508 702 762 972 1053 1143 1404 1524 1651 2106 2286 2707 3159 3302 3429 4212 4572 4953 5414 6318 6604 6858 8121 9906 10287 10828 12636 13716 14859 16242 19812 20574 24363 29718 30861 32484 35191 41148 44577 48726 59436 61722 70382 73089 89154 97452 105573 123444 133731 140764 146178 178308 211146 219267 267462 292356 316719 343789 401193 422292 438534 534924 633438 657801 687578 802386 877068 950157 1031367 1266876 1315602 1375156 1604772 1900314 2062734 2631204 2850471 3094101 3800628 4125468 4469257 5700942 6188202 8551413 8938514 9282303 11401884 12376404 13407771 17102826 17877028 18564606 26815542 27846909 34205652 37129212 40223313 53631084 55693818 80446626 83540727 111387636 120669939 160893252 167081454 241339878 334162908 362009817 482679756 724019634 1086029451 1448039268 2172058902 4344117804