Search a number
-
+
313050336 = 25319716553
BaseRepresentation
bin10010101010001…
…100010011100000
3210211001121022220
4102222030103200
51120120102321
651021431040
710520612124
oct2252142340
9724047286
10313050336
11150788395
1288a0b480
134cb19bb1
142d80d584
151c73a9c6
hex12a8c4e0

313050336 has 48 divisors (see below), whose sum is σ = 825978384. Its totient is φ = 103814144.

The previous prime is 313050323. The next prime is 313050347. The reversal of 313050336 is 633050313.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10636 + ... + 27188.

It is an arithmetic number, because the mean of its divisors is an integer number (17207883).

Almost surely, 2313050336 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 313050336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412989192).

313050336 is an abundant number, since it is smaller than the sum of its proper divisors (512928048).

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

313050336 is a wasteful number, since it uses less digits than its factorization.

313050336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16763 (or 16755 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 24.

The square root of 313050336 is about 17693.2285352335. The cubic root of 313050336 is about 679.0025283268.

The spelling of 313050336 in words is "three hundred thirteen million, fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 16553 18912 33106 49659 66212 99318 132424 198636 264848 397272 529696 794544 1589088 3260941 6521882 9782823 13043764 19565646 26087528 39131292 52175056 78262584 104350112 156525168 313050336