Search a number
-
+
676921344 = 216311313
BaseRepresentation
bin101000010110010…
…000000000000000
31202011202011111220
4220112100000000
52341242440334
6151100435040
722526510421
oct5026200000
91664664456
10676921344
11318117030
1216a848a80
13aa31b898
1465c8b648
153e664449
hex28590000

676921344 has 136 divisors (see below), whose sum is σ = 1975502112. Its totient is φ = 204472320.

The previous prime is 676921321. The next prime is 676921367. The reversal of 676921344 is 443129676.

It is an interprime number because it is at equal distance from previous prime (676921321) and next prime (676921367).

It is a junction number, because it is equal to n+sod(n) for n = 676921296 and 676921305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2162532 + ... + 2162844.

Almost surely, 2676921344 is an apocalyptic number.

676921344 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 676921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987751056).

676921344 is an abundant number, since it is smaller than the sum of its proper divisors (1298580768).

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

676921344 is an equidigital number, since it uses as much as digits as its factorization.

676921344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 329 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 676921344 is about 26017.7121207842. The cubic root of 676921344 is about 878.0368358170.

The spelling of 676921344 in words is "six hundred seventy-six million, nine hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 313 352 384 512 528 626 704 768 939 1024 1056 1252 1408 1536 1878 2048 2112 2504 2816 3072 3443 3756 4096 4224 5008 5632 6144 6886 7512 8192 8448 10016 10329 11264 12288 13772 15024 16384 16896 20032 20658 22528 24576 27544 30048 32768 33792 40064 41316 45056 49152 55088 60096 65536 67584 80128 82632 90112 98304 110176 120192 135168 160256 165264 180224 196608 220352 240384 270336 320512 330528 360448 440704 480768 540672 641024 661056 720896 881408 961536 1081344 1282048 1322112 1762816 1923072 2162688 2564096 2644224 3525632 3846144 5128192 5288448 7051264 7692288 10256384 10576896 14102528 15384576 20512768 21153792 28205056 30769152 42307584 56410112 61538304 84615168 112820224 169230336 225640448 338460672 676921344