Search a number
-
+
397073124 = 223374331213
BaseRepresentation
bin10111101010101…
…101101011100100
31000200011101221000
4113222231223210
51303122314444
6103222353300
712561031410
oct2752555344
91020141830
10397073124
11194156a08
12b0b8b830
1364358316
143aa41d40
1524cd6469
hex17aadae4

397073124 has 96 divisors (see below), whose sum is σ = 1180202240. Its totient is φ = 113094144.

The previous prime is 397073123. The next prime is 397073143. The reversal of 397073124 is 421370793.

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

It is not an unprimeable number, because it can be changed into a prime (397073123) 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 31 ways as a sum of consecutive naturals, for example, 326742 + ... + 327954.

Almost surely, 2397073124 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 397073124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590101120).

397073124 is an abundant number, since it is smaller than the sum of its proper divisors (783129116).

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

397073124 is a wasteful number, since it uses less digits than its factorization.

397073124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 397073124 is about 19926.6937548606. The cubic root of 397073124 is about 735.0047813100.

The spelling of 397073124 in words is "three hundred ninety-seven million, seventy-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 433 756 866 1213 1299 1732 2426 2598 3031 3639 3897 4852 5196 6062 7278 7794 8491 9093 10917 11691 12124 14556 15588 16982 18186 21834 23382 25473 27279 32751 33964 36372 43668 46764 50946 54558 65502 76419 81837 101892 109116 131004 152838 163674 229257 305676 327348 458514 525229 917028 1050458 1575687 2100916 3151374 3676603 4727061 6302748 7353206 9454122 11029809 14181183 14706412 18908244 22059618 28362366 33089427 44119236 56724732 66178854 99268281 132357708 198536562 397073124