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193240944 = 243313191811
BaseRepresentation
bin10111000010010…
…01111101110000
3111110121122202000
423201021331300
5343432202234
631101454000
74534343451
oct1341117560
9443548660
10193240944
119a096866
1254871300
133105b970
141b943128
1511e71899
hexb849f70

193240944 has 160 divisors (see below), whose sum is σ = 629126400. Its totient is φ = 56298240.

The previous prime is 193240919. The next prime is 193240967. The reversal of 193240944 is 449042391.

193240944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1932409442 = 74684124876022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 193240899 and 193240908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105799 + ... + 107609.

It is an arithmetic number, because the mean of its divisors is an integer number (3932040).

Almost surely, 2193240944 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 193240944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314563200).

193240944 is an abundant number, since it is smaller than the sum of its proper divisors (435885456).

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

193240944 is a wasteful number, since it uses less digits than its factorization.

193240944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 193240944 is about 13901.1130489612. The cubic root of 193240944 is about 578.1400426142.

The spelling of 193240944 in words is "one hundred ninety-three million, two hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 684 702 741 912 936 988 1026 1368 1404 1482 1811 1872 1976 2052 2223 2736 2808 2964 3622 3952 4104 4446 5433 5616 5928 6669 7244 8208 8892 10866 11856 13338 14488 16299 17784 21732 23543 26676 28976 32598 34409 35568 43464 47086 48897 53352 65196 68818 70629 86928 94172 97794 103227 106704 130392 137636 141258 188344 195588 206454 211887 260784 275272 282516 309681 376688 391176 412908 423774 447317 550544 565032 619362 635661 782352 825816 847548 894634 929043 1130064 1238724 1271322 1341951 1651632 1695096 1789268 1858086 2477448 2542644 2683902 3390192 3578536 3716172 4025853 4954896 5085288 5367804 7157072 7432344 8051706 10170576 10735608 12077559 14864688 16103412 21471216 24155118 32206824 48310236 64413648 96620472 193240944