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198970344 = 2336109313
BaseRepresentation
bin10111101110000…
…00101111101000
3111212101202000000
423313000233220
5401414022334
631424343000
74634135316
oct1367005750
9455352000
10198970344
11a234a401
1256774a60
13322b6741
141c5d50b6
1512704299
hexbdc0be8

198970344 has 112 divisors (see below), whose sum is σ = 566283300. Its totient is φ = 65505024.

The previous prime is 198970327. The next prime is 198970379. The reversal of 198970344 is 443079891.

It can be written as a sum of positive squares in 2 ways, for example, as 186650244 + 12320100 = 13662^2 + 3510^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 198970344.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 635532 + ... + 635844.

Almost surely, 2198970344 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 198970344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283141650).

198970344 is an abundant number, since it is smaller than the sum of its proper divisors (367312956).

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

198970344 is a wasteful number, since it uses less digits than its factorization.

198970344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 198970344 is about 14105.6848114510. The cubic root of 198970344 is about 583.7982429977.

The spelling of 198970344 in words is "one hundred ninety-eight million, nine hundred seventy thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 243 313 324 327 436 486 626 648 654 729 872 939 972 981 1252 1308 1458 1878 1944 1962 2504 2616 2817 2916 2943 3756 3924 5634 5832 5886 7512 7848 8451 8829 11268 11772 16902 17658 22536 23544 25353 26487 33804 34117 35316 50706 52974 67608 68234 70632 76059 79461 101412 102351 105948 136468 152118 158922 202824 204702 211896 228177 272936 304236 307053 317844 409404 456354 608472 614106 635688 818808 912708 921159 1228212 1825416 1842318 2456424 2763477 3684636 5526954 7369272 8290431 11053908 16580862 22107816 24871293 33161724 49742586 66323448 99485172 198970344