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198949344 = 25311293643
BaseRepresentation
bin10111101101110…
…11100111100000
3111212100200012020
423312323213200
5401412334334
631424101440
74634020146
oct1366734740
9455320166
10198949344
11a2335650
1256764880
13322aa009
141c5cb596
15126ece49
hexbdbb9e0

198949344 has 96 divisors (see below), whose sum is σ = 572552064. Its totient is φ = 59988480.

The previous prime is 198949339. The next prime is 198949349. The reversal of 198949344 is 443949891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (198949339) and next prime (198949349).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198949349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309087 + ... + 309729.

It is an arithmetic number, because the mean of its divisors is an integer number (5964084).

Almost surely, 2198949344 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 198949344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286276032).

198949344 is an abundant number, since it is smaller than the sum of its proper divisors (373602720).

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

198949344 is a wasteful number, since it uses less digits than its factorization.

198949344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 198949344 is about 14104.9404110758. The cubic root of 198949344 is about 583.7777035977. Note that the first 4 decimals are identical.

The spelling of 198949344 in words is "one hundred ninety-eight million, nine hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 293 352 528 586 643 879 1056 1172 1286 1758 1929 2344 2572 3223 3516 3858 4688 5144 6446 7032 7073 7716 9376 9669 10288 12892 14064 14146 15432 19338 20576 21219 25784 28128 28292 30864 38676 42438 51568 56584 61728 77352 84876 103136 113168 154704 169752 188399 226336 309408 339504 376798 565197 679008 753596 1130394 1507192 2072389 2260788 3014384 4144778 4521576 6028768 6217167 8289556 9043152 12434334 16579112 18086304 24868668 33158224 49737336 66316448 99474672 198949344