Search a number
-
+
197973342 = 2337677817
BaseRepresentation
bin10111100110011…
…01010101011110
3111210112002101000
423303031111132
5401140121332
631351131130
74622513520
oct1363152536
9453462330
10197973342
11a1829336
1256373aa6
13320279b8
141c415a10
15125a8b7c
hexbccd55e

197973342 has 64 divisors (see below), whose sum is σ = 510359040. Its totient is φ = 55712448.

The previous prime is 197973337. The next prime is 197973367. The reversal of 197973342 is 243379791.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21418 + ... + 29234.

It is an arithmetic number, because the mean of its divisors is an integer number (7974360).

Almost surely, 2197973342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197973342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255179520).

197973342 is an abundant number, since it is smaller than the sum of its proper divisors (312385698).

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

197973342 is a wasteful number, since it uses less digits than its factorization.

197973342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902 (or 7896 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 197973342 is about 14070.2999968018. The cubic root of 197973342 is about 582.8215096543.

The spelling of 197973342 in words is "one hundred ninety-seven million, nine hundred seventy-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 126 134 189 201 378 402 469 603 938 1206 1407 1809 2814 3618 4221 7817 8442 12663 15634 23451 25326 46902 54719 70353 109438 140706 164157 211059 328314 422118 492471 523739 984942 1047478 1477413 1571217 2954826 3142434 3666173 4713651 7332346 9427302 10998519 14140953 21997038 28281906 32995557 65991114 98986671 197973342