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313424124 = 2231367157191
BaseRepresentation
bin10010101011100…
…111100011111100
3210211202121001220
4102223213203330
51120214032444
651033433340
710524026646
oct2253474374
9724677056
10313424124
11150a13202
1288b6b850
134cc1b080
142d8a9896
151c7b1619
hex12ae78fc

313424124 has 96 divisors (see below), whose sum is σ = 808636416. Its totient is φ = 93899520.

The previous prime is 313424117. The next prime is 313424143. The reversal of 313424124 is 421424313.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 313424094 and 313424103.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1640869 + ... + 1641059.

It is an arithmetic number, because the mean of its divisors is an integer number (8423296).

Almost surely, 2313424124 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 313424124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404318208).

313424124 is an abundant number, since it is smaller than the sum of its proper divisors (495212292).

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

313424124 is a wasteful number, since it uses less digits than its factorization.

313424124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 313424124 is about 17703.7884081346. The cubic root of 313424124 is about 679.2726681091.

Adding to 313424124 its reverse (421424313), we get a palindrome (734848437).

The spelling of 313424124 in words is "three hundred thirteen million, four hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 157 191 201 268 314 382 402 471 573 628 764 804 871 942 1146 1742 1884 2041 2292 2483 2613 3484 4082 4966 5226 6123 7449 8164 9932 10452 10519 12246 12797 14898 21038 24492 25594 29796 29987 31557 38391 42076 51188 59974 63114 76782 89961 119948 126228 136747 153564 166361 179922 273494 332722 359844 389831 410241 499083 546988 665444 779662 820482 998166 1169493 1559324 1640964 1996332 2009129 2338986 4018258 4677972 6027387 8036516 12054774 24109548 26118677 52237354 78356031 104474708 156712062 313424124