Search a number
-
+
194344704 = 283331907
BaseRepresentation
bin10111001010101…
…11011100000000
3111112200201211000
423211113130000
5344223012304
631141252000
74546621431
oct1345273400
9445621730
10194344704
119a780064
1255104000
1331357188
141bb4d488
15120dd939
hexb957700

194344704 has 144 divisors (see below), whose sum is σ = 593904640. Its totient is φ = 62622720.

The previous prime is 194344691. The next prime is 194344727. The reversal of 194344704 is 407443491.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 213819 + ... + 214725.

Almost surely, 2194344704 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 194344704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296952320).

194344704 is an abundant number, since it is smaller than the sum of its proper divisors (399559936).

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

194344704 is an equidigital number, since it uses as much as digits as its factorization.

194344704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 194344704 is about 13940.7569378424. The cubic root of 194344704 is about 579.2386999365.

The spelling of 194344704 in words is "one hundred ninety-four million, three hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 907 992 1116 1152 1488 1674 1728 1814 1984 2232 2304 2721 2976 3348 3456 3628 3968 4464 5442 5952 6696 6912 7256 7936 8163 8928 10884 11904 13392 14512 16326 17856 21768 23808 24489 26784 28117 29024 32652 35712 43536 48978 53568 56234 58048 65304 71424 84351 87072 97956 107136 112468 116096 130608 168702 174144 195912 214272 224936 232192 253053 261216 337404 348288 391824 449872 506106 522432 674808 696576 759159 783648 899744 1012212 1044864 1349616 1518318 1567296 1799488 2024424 2089728 2699232 3036636 3134592 3598976 4048848 5398464 6073272 6269184 7197952 8097696 10796928 12146544 16195392 21593856 24293088 32390784 48586176 64781568 97172352 194344704