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197434146 = 237132937337
BaseRepresentation
bin10111100010010…
…01101100100010
3111202111200201210
423301021230202
5401020343041
631331410550
74615106520
oct1361115442
9452450653
10197434146
11a14a0218
1256153a56
1331b99450
141c315310
15124ee016
hexbc49b22

197434146 has 128 divisors (see below), whose sum is σ = 517870080. Its totient is φ = 48771072.

The previous prime is 197434123. The next prime is 197434151. The reversal of 197434146 is 641434791.

It is a Harshad number since it is a multiple of its sum of digits (39).

197434146 is a modest number, since divided by 34146 gives 1974 as remainder.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 585690 + ... + 586026.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 2197434146 is an apocalyptic number.

197434146 is the 7511-st nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197434146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258935040).

197434146 is an abundant number, since it is smaller than the sum of its proper divisors (320435934).

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

197434146 is a wasteful number, since it uses less digits than its factorization.

197434146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428.

The product of its digits is 72576, while the sum is 39.

The square root of 197434146 is about 14051.1261470389. The cubic root of 197434146 is about 582.2919084540.

The spelling of 197434146 in words is "one hundred ninety-seven million, four hundred thirty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 29 37 39 42 58 74 78 87 91 111 174 182 203 222 259 273 337 377 406 481 518 546 609 674 754 777 962 1011 1073 1131 1218 1443 1554 2022 2146 2262 2359 2639 2886 3219 3367 4381 4718 5278 6438 6734 7077 7511 7917 8762 9773 10101 12469 13143 13949 14154 15022 15834 19546 20202 22533 24938 26286 27898 29319 30667 37407 41847 45066 58638 61334 68411 74814 83694 87283 92001 97643 127049 136822 162097 174566 184002 195286 205233 254098 261849 292929 324194 361601 381147 410466 486291 523698 585858 723202 762294 889343 972582 1084803 1134679 1778686 2169606 2269358 2531207 2668029 3404037 4700813 5062414 5336058 6808074 7593621 9401626 14102439 15187242 28204878 32905691 65811382 98717073 197434146