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677321344 = 2771753839
BaseRepresentation
bin101000010111110…
…001101010000000
31202012111111012201
4220113301222000
52341343240334
6151113202544
722533064540
oct5027615200
91665444181
10677321344
1131836a607
1216aa00454
13aa42b97b
1465d53320
153e6e2c14
hex285f1a80

677321344 has 128 divisors (see below), whose sum is σ = 1665619200. Its totient is φ = 267730944.

The previous prime is 677321339. The next prime is 677321363. The reversal of 677321344 is 443123776.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806877 + ... + 807715.

It is an arithmetic number, because the mean of its divisors is an integer number (13012650).

Almost surely, 2677321344 is an apocalyptic number.

677321344 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 677321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832809600).

677321344 is an abundant number, since it is smaller than the sum of its proper divisors (988297856).

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

677321344 is a wasteful number, since it uses less digits than its factorization.

677321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 918 counting only the distinct ones).

The product of its digits is 84672, while the sum is 37.

The square root of 677321344 is about 26025.3980565139. The cubic root of 677321344 is about 878.2097488550.

The spelling of 677321344 in words is "six hundred seventy-seven million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 53 56 64 68 106 112 119 128 136 212 224 238 272 371 424 448 476 544 742 839 848 896 901 952 1088 1484 1678 1696 1802 1904 2176 2968 3356 3392 3604 3808 5873 5936 6307 6712 6784 7208 7616 11746 11872 12614 13424 14263 14416 15232 23492 23744 25228 26848 28526 28832 44467 46984 47488 50456 53696 57052 57664 88934 93968 99841 100912 107392 114104 115328 177868 187936 199682 201824 228208 311269 355736 375872 399364 403648 456416 622538 711472 751744 755939 798728 807296 912832 1245076 1422944 1511878 1597456 1825664 2490152 2845888 3023756 3194912 4980304 5291573 5691776 6047512 6389824 9960608 10583146 12095024 12779648 19921216 21166292 24190048 39842432 42332584 48380096 84665168 96760192 169330336 338660672 677321344