Search a number
-
+
396965776 = 241722932
BaseRepresentation
bin10111101010010…
…011011110010000
31000122221221200011
4113222103132100
51303110401101
6103220204304
712560103424
oct2752233620
91018857604
10396965776
11194093299
12b0b39694
136431b4bc
143aa14b84
1524cb4751
hex17a93790

396965776 has 45 divisors (see below), whose sum is σ = 819822931. Its totient is φ = 186169856.

The previous prime is 396965773. The next prime is 396965837. The reversal of 396965776 is 677569693.

The square root of 396965776 is 19924.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 222725776 + 174240000 = 14924^2 + 13200^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 396965776.

It is not an unprimeable number, because it can be changed into a prime (396965773) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1354686 + ... + 1354978.

Almost surely, 2396965776 is an apocalyptic number.

396965776 is the 19924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396965776

396965776 is an abundant number, since it is smaller than the sum of its proper divisors (422857155).

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

396965776 is an equidigital number, since it uses as much as digits as its factorization.

396965776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 312 counting only the distinct ones).

The product of its digits is 12859560, while the sum is 58.

The cubic root of 396965776 is about 734.9385396030.

The spelling of 396965776 in words is "three hundred ninety-six million, nine hundred sixty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 293 578 586 1156 1172 2312 2344 4624 4688 4981 9962 19924 39848 79696 84677 85849 169354 171698 338708 343396 677416 686792 1354832 1373584 1459433 2918866 5837732 11675464 23350928 24810361 49620722 99241444 198482888 396965776