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198346344 = 233717371877
BaseRepresentation
bin10111101001010…
…00011001101000
3111211020001000220
423310220121220
5401234040334
631403130040
74625626140
oct1364503150
9454201026
10198346344
11a1a635a9
1256513920
1332128701
141c4b1920
151262e449
hexbd28668

198346344 has 128 divisors (see below), whose sum is σ = 616584960. Its totient is φ = 51867648.

The previous prime is 198346333. The next prime is 198346363. The reversal of 198346344 is 443643891.

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 = 198346296 and 198346305.

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 31 ways as a sum of consecutive naturals, for example, 104734 + ... + 106610.

It is an arithmetic number, because the mean of its divisors is an integer number (4817070).

Almost surely, 2198346344 is an apocalyptic number.

198346344 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 198346344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308292480).

198346344 is an abundant number, since it is smaller than the sum of its proper divisors (418238616).

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

198346344 is a wasteful number, since it uses less digits than its factorization.

198346344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1943 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 198346344 is about 14083.5487005229. The cubic root of 198346344 is about 583.1873117680.

The spelling of 198346344 in words is "one hundred ninety-eight million, three hundred forty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 37 42 51 56 68 74 84 102 111 119 136 148 168 204 222 238 259 296 357 408 444 476 518 629 714 777 888 952 1036 1258 1428 1554 1877 1887 2072 2516 2856 3108 3754 3774 4403 5032 5631 6216 7508 7548 8806 11262 13139 13209 15016 15096 17612 22524 26278 26418 31909 35224 39417 45048 52556 52836 63818 69449 78834 95727 105112 105672 127636 138898 157668 191454 208347 223363 255272 277796 315336 382908 416694 446726 486143 555592 670089 765816 833388 893452 972286 1180633 1340178 1458429 1666776 1786904 1944572 2361266 2680356 2916858 3541899 3889144 4722532 5360712 5833716 7083798 8264431 9445064 11667432 14167596 16528862 24793293 28335192 33057724 49586586 66115448 99173172 198346344