Search a number
-
+
336041046 = 232116773347
BaseRepresentation
bin10100000001111…
…001010001010110
3212102022122122200
4110001321101112
51142011303141
653202305330
711220205335
oct2401712126
9772278580
10336041046
11162760680
1294658246
1354809673
14328b5d1c
151e77cab6
hex14079456

336041046 has 96 divisors (see below), whose sum is σ = 819531648. Its totient is φ = 98651520.

The previous prime is 336041033. The next prime is 336041051. The reversal of 336041046 is 640140633.

336041046 is a `hidden beast` number, since 3 + 3 + 604 + 10 + 46 = 666.

It is a super-2 number, since 2×3360410462 = 225847169193548232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968245 + ... + 968591.

It is an arithmetic number, because the mean of its divisors is an integer number (8536788).

Almost surely, 2336041046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336041046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409765824).

336041046 is an abundant number, since it is smaller than the sum of its proper divisors (483490602).

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

336041046 is a wasteful number, since it uses less digits than its factorization.

336041046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 336041046 is about 18331.4223670723. The cubic root of 336041046 is about 695.2336367511.

Adding to 336041046 its reverse (640140633), we get a palindrome (976181679).

The spelling of 336041046 in words is "three hundred thirty-six million, forty-one thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 73 99 134 146 198 201 219 347 402 438 603 657 694 737 803 1041 1206 1314 1474 1606 2082 2211 2409 3123 3817 4422 4818 4891 6246 6633 7227 7634 9782 11451 13266 14454 14673 22902 23249 25331 29346 34353 44019 46498 50662 53801 68706 69747 75993 88038 107602 139494 151986 161403 209241 227979 255739 278641 322806 418482 455958 484209 511478 557282 767217 835923 968418 1534434 1671846 1697177 2301651 2507769 3394354 4603302 5015538 5091531 10183062 15274593 18668947 30549186 37337894 56006841 112013682 168020523 336041046