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199354344 = 2337361397
BaseRepresentation
bin10111110000111…
…10011111101000
3111220010020202020
423320132133220
5402013314334
631440504440
74640325000
oct1370363750
9456106666
10199354344
11a2591962
125691b120
13323bc467
141c695000
151277ce49
hexbe1e7e8

199354344 has 128 divisors (see below), whose sum is σ = 592224000. Its totient is φ = 55883520.

The previous prime is 199354249. The next prime is 199354369. The reversal of 199354344 is 443453991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 199354296 and 199354305.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 501954 + ... + 502350.

It is an arithmetic number, because the mean of its divisors is an integer number (4626750).

Almost surely, 2199354344 is an apocalyptic number.

199354344 is a gapful number since it is divisible by the number (14) 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 199354344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296112000).

199354344 is an abundant number, since it is smaller than the sum of its proper divisors (392869656).

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

199354344 is a wasteful number, since it uses less digits than its factorization.

199354344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 470 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 199354344 is about 14119.2897838383. The cubic root of 199354344 is about 584.1735660375.

The spelling of 199354344 in words is "one hundred ninety-nine million, three hundred fifty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 61 84 98 122 147 168 183 196 244 294 343 366 392 397 427 488 588 686 732 794 854 1029 1176 1191 1281 1372 1464 1588 1708 2058 2382 2562 2744 2779 2989 3176 3416 4116 4764 5124 5558 5978 8232 8337 8967 9528 10248 11116 11956 16674 17934 19453 20923 22232 23912 24217 33348 35868 38906 41846 48434 58359 62769 66696 71736 72651 77812 83692 96868 116718 125538 136171 145302 155624 167384 169519 193736 233436 251076 272342 290604 339038 408513 466872 502152 508557 544684 581208 678076 817026 1017114 1089368 1186633 1356152 1634052 2034228 2373266 3268104 3559899 4068456 4746532 7119798 8306431 9493064 14239596 16612862 24919293 28479192 33225724 49838586 66451448 99677172 199354344