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314303444 = 227213293421
BaseRepresentation
bin10010101110111…
…110001111010100
3210220102021021022
4102232332033110
51120430202234
651104340312
710534351400
oct2256761724
9726367238
10314303444
11151463914
1289314698
1350168390
142da58100
151c8d6e2e
hex12bbe3d4

314303444 has 72 divisors (see below), whose sum is σ = 693043848. Its totient is φ = 123621120.

The previous prime is 314303413. The next prime is 314303447. The reversal of 314303444 is 444303413.

It can be written as a sum of positive squares in 4 ways, for example, as 4120900 + 310182544 = 2030^2 + 17612^2 .

It is a super-2 number, since 2×3143034442 = 197573309820522272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314303447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746354 + ... + 746774.

It is an arithmetic number, because the mean of its divisors is an integer number (9625609).

Almost surely, 2314303444 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 314303444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346521924).

314303444 is an abundant number, since it is smaller than the sum of its proper divisors (378740404).

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

314303444 is a wasteful number, since it uses less digits than its factorization.

314303444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 314303444 is about 17728.6052468884. The cubic root of 314303444 is about 679.9073143569.

Adding to 314303444 its reverse (444303413), we get a palindrome (758606857).

The spelling of 314303444 in words is "three hundred fourteen million, three hundred three thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 293 364 421 586 637 842 1172 1274 1684 2051 2548 2947 3809 4102 5473 5894 7618 8204 10946 11788 14357 15236 20629 21892 26663 28714 38311 41258 53326 57428 76622 82516 106652 123353 153244 186641 246706 268177 373282 493412 536354 746564 863471 1072708 1603589 1726942 3207178 3453884 6044297 6414356 11225123 12088594 22450246 24177188 44900492 78575861 157151722 314303444