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681381344 = 25719374327
BaseRepresentation
bin101000100111010…
…000110111100000
31202111010202111002
4220213100313200
52343413200334
6151340211132
722612434350
oct5047206740
91674122432
10681381344
1131a692986
12170239aa8
13ab220937
14666ccb60
153ec45b7e
hex289d0de0

681381344 has 96 divisors (see below), whose sum is σ = 1657797120. Its totient is φ = 269111808.

The previous prime is 681381341. The next prime is 681381353. The reversal of 681381344 is 443183186.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 681381298 and 681381307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681381341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155309 + ... + 159635.

It is an arithmetic number, because the mean of its divisors is an integer number (17268720).

Almost surely, 2681381344 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 681381344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828898560).

681381344 is an abundant number, since it is smaller than the sum of its proper divisors (976415776).

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

681381344 is a wasteful number, since it uses less digits than its factorization.

681381344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4392 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 681381344 is about 26103.2822457253. The cubic root of 681381344 is about 879.9609762309.

The spelling of 681381344 in words is "six hundred eighty-one million, three hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 56 74 76 112 133 148 152 224 259 266 296 304 518 532 592 608 703 1036 1064 1184 1406 2072 2128 2812 4144 4256 4327 4921 5624 8288 8654 9842 11248 17308 19684 22496 30289 34616 39368 60578 69232 78736 82213 121156 138464 157472 160099 164426 242312 320198 328852 484624 575491 640396 657704 969248 1120693 1150982 1280792 1315408 2241386 2301964 2561584 2630816 3041881 4482772 4603928 5123168 6083762 8965544 9207856 12167524 17931088 18415712 21293167 24335048 35862176 42586334 48670096 85172668 97340192 170345336 340690672 681381344