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313340240 = 24553671103
BaseRepresentation
bin10010101011010…
…011000101010000
3210211121100000002
4102223103011100
51120203341430
651031545132
710523230253
oct2253230520
9724540002
10313340240
11150966184
1288b2b1a8
134cbbbb35
142d88709a
151c796845
hex12ad3150

313340240 has 80 divisors (see below), whose sum is σ = 754023168. Its totient is φ = 121026048.

The previous prime is 313340239. The next prime is 313340249. The reversal of 313340240 is 42043313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313340249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283529 + ... + 284631.

Almost surely, 2313340240 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 313340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377011584).

313340240 is an abundant number, since it is smaller than the sum of its proper divisors (440682928).

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

313340240 is a wasteful number, since it uses less digits than its factorization.

313340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 313340240 is about 17701.4191521471. The cubic root of 313340240 is about 679.2120631245.

Adding to 313340240 its reverse (42043313), we get a palindrome (355383553).

The spelling of 313340240 in words is "three hundred thirteen million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 67 80 106 134 212 265 268 335 424 530 536 670 848 1060 1072 1103 1340 2120 2206 2680 3551 4240 4412 5360 5515 7102 8824 11030 14204 17648 17755 22060 28408 35510 44120 56816 58459 71020 73901 88240 116918 142040 147802 233836 284080 292295 295604 369505 467672 584590 591208 739010 935344 1169180 1182416 1478020 2338360 2956040 3916753 4676720 5912080 7833506 15667012 19583765 31334024 39167530 62668048 78335060 156670120 313340240