Search a number
-
+
313324320 = 2535652759
BaseRepresentation
bin10010101011001…
…111001100100000
3210211120112011110
4102223033030200
51120202334240
651031343320
710523132661
oct2253171440
9724515143
10313324320
11150955221
1288b21b40
134cbb480a
142d881368
151c791c80
hex12acf320

313324320 has 48 divisors (see below), whose sum is σ = 986973120. Its totient is φ = 83553024.

The previous prime is 313324309. The next prime is 313324327. The reversal of 313324320 is 23423313.

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

It is not an unprimeable number, because it can be changed into a prime (313324327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325900 + ... + 326859.

It is an arithmetic number, because the mean of its divisors is an integer number (20561940).

Almost surely, 2313324320 is an apocalyptic number.

313324320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313324320 is an abundant number, since it is smaller than the sum of its proper divisors (673648800).

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

313324320 is a wasteful number, since it uses less digits than its factorization.

313324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652777 (or 652769 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 313324320 is about 17700.9694649756. The cubic root of 313324320 is about 679.2005599322.

Adding to 313324320 its reverse (23423313), we get a palindrome (336747633).

The spelling of 313324320 in words is "three hundred thirteen million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 652759 1305518 1958277 2611036 3263795 3916554 5222072 6527590 7833108 9791385 10444144 13055180 15666216 19582770 20888288 26110360 31332432 39165540 52220720 62664864 78331080 104441440 156662160 313324320