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196777344 = 2734710903
BaseRepresentation
bin10111011101010…
…01010110000000
3111201021022202210
423232221112000
5400333333334
631305342120
74606402611
oct1356512600
9451238683
10196777344
11a1091805
1255a97940
13319c94ca
141c1c3c08
151241e5e9
hexbba9580

196777344 has 64 divisors (see below), whose sum is σ = 533859840. Its totient is φ = 64190976.

The previous prime is 196777337. The next prime is 196777381. The reversal of 196777344 is 443777691.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1967773443 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 196777293 and 196777302.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12597 + ... + 23499.

It is an arithmetic number, because the mean of its divisors is an integer number (8341560).

Almost surely, 2196777344 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 196777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266929920).

196777344 is an abundant number, since it is smaller than the sum of its proper divisors (337082496).

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

196777344 is a wasteful number, since it uses less digits than its factorization.

196777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10967 (or 10955 counting only the distinct ones).

The product of its digits is 889056, while the sum is 48.

The square root of 196777344 is about 14027.7348135756. The cubic root of 196777344 is about 581.6454897514.

The spelling of 196777344 in words is "one hundred ninety-six million, seven hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 10903 18048 21806 32709 43612 65418 87224 130836 174448 261672 348896 512441 523344 697792 1024882 1046688 1395584 1537323 2049764 2093376 3074646 4099528 4186752 6149292 8199056 12298584 16398112 24597168 32796224 49194336 65592448 98388672 196777344