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69385344 = 273783311
BaseRepresentation
bin1000010001010…
…11110010000000
311211120010210120
410020223302000
5120230312334
610515100240
71501523430
oct410536200
9154503716
1069385344
1136191266
121b2a1680
13114b4b22
1493022c0
156158949
hex422bc80

69385344 has 128 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 19522560.

The previous prime is 69385343. The next prime is 69385417. The reversal of 69385344 is 44358396.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 69385296 and 69385305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69385343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222949 + ... + 223259.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 269385344 is an apocalyptic number.

69385344 is a gapful number since it is divisible by the number (64) 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 69385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

69385344 is an abundant number, since it is smaller than the sum of its proper divisors (144471936).

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

69385344 is a wasteful number, since it uses less digits than its factorization.

69385344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 69385344 is about 8329.7865518871. The cubic root of 69385344 is about 410.9187092441.

The spelling of 69385344 in words is "sixty-nine million, three hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 128 166 168 192 224 249 311 332 336 384 448 498 581 622 664 672 896 933 996 1162 1244 1328 1344 1743 1866 1992 2177 2324 2488 2656 2688 3486 3732 3984 4354 4648 4976 5312 6531 6972 7464 7968 8708 9296 9952 10624 13062 13944 14928 15936 17416 18592 19904 25813 26124 27888 29856 31872 34832 37184 39808 51626 52248 55776 59712 69664 74368 77439 103252 104496 111552 119424 139328 154878 180691 206504 208992 223104 278656 309756 361382 413008 417984 542073 619512 722764 826016 835968 1084146 1239024 1445528 1652032 2168292 2478048 2891056 3304064 4336584 4956096 5782112 8673168 9912192 11564224 17346336 23128448 34692672 69385344