Search a number
-
+
397342000 = 24531118061
BaseRepresentation
bin10111101011101…
…111010100110000
31000200200001202101
4113223233110300
51303204421000
6103232230144
712563231326
oct2753572460
91020601671
10397342000
1119431aa20
12b109b354
1364420813
143aab1d16
1524d3ae6a
hex17aef530

397342000 has 80 divisors (see below), whose sum is σ = 1048173984. Its totient is φ = 144480000.

The previous prime is 397341991. The next prime is 397342009. The reversal of 397342000 is 243793.

It is an interprime number because it is at equal distance from previous prime (397341991) and next prime (397342009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 397342000.

It is not an unprimeable number, because it can be changed into a prime (397342009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12970 + ... + 31030.

Almost surely, 2397342000 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 397342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524086992).

397342000 is an abundant number, since it is smaller than the sum of its proper divisors (650831984).

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

397342000 is a wasteful number, since it uses less digits than its factorization.

397342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18095 (or 18079 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 397342000 is about 19933.4392416362. The cubic root of 397342000 is about 735.1706454321.

Adding to 397342000 its reverse (243793), we get a palindrome (397585793).

The spelling of 397342000 in words is "three hundred ninety-seven million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 18061 22000 36122 72244 90305 144488 180610 198671 288976 361220 397342 451525 722440 794684 903050 993355 1444880 1589368 1806100 1986710 2257625 3178736 3612200 3973420 4515250 4966775 7224400 7946840 9030500 9933550 15893680 18061000 19867100 24833875 36122000 39734200 49667750 79468400 99335500 198671000 397342000