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194168340 = 22345294133
BaseRepresentation
bin10111001001011…
…00011000010100
3111112100202220000
423210230120110
5344201341330
631133411300
74545255312
oct1344543024
9445322800
10194168340
119a66a603
1255039b30
13312c4b12
141bb050b2
15120a6560
hexb92c614

194168340 has 120 divisors (see below), whose sum is σ = 630269640. Its totient is φ = 49980672.

The previous prime is 194168269. The next prime is 194168347. The reversal of 194168340 is 43861491.

It can be written as a sum of positive squares in 4 ways, for example, as 38118276 + 156050064 = 6174^2 + 12492^2 .

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 = 194168295 and 194168304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194168347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44914 + ... + 49046.

It is an arithmetic number, because the mean of its divisors is an integer number (5252247).

Almost surely, 2194168340 is an apocalyptic number.

194168340 is a gapful number since it is divisible by the number (10) 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 194168340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315134820).

194168340 is an abundant number, since it is smaller than the sum of its proper divisors (436101300).

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

194168340 is a wasteful number, since it uses less digits than its factorization.

194168340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 194168340 is about 13934.4300206359. The cubic root of 194168340 is about 579.0634309954.

The spelling of 194168340 in words is "one hundred ninety-four million, one hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4133 4698 5220 7830 8266 9396 11745 12399 15660 16532 20665 23490 24798 37197 41330 46980 49596 61995 74394 82660 111591 119857 123990 148788 185985 223182 239714 247980 334773 359571 371970 446364 479428 557955 599285 669546 719142 743940 1078713 1115910 1198570 1339092 1438284 1673865 1797855 2157426 2231820 2397140 3236139 3347730 3595710 4314852 5393565 6472278 6695460 7191420 9708417 10787130 12944556 16180695 19416834 21574260 32361390 38833668 48542085 64722780 97084170 194168340