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313241500 = 225311132337
BaseRepresentation
bin10010101010111…
…010111110011100
3210211102022120001
4102222322332130
51120142212000
651025504044
710522336345
oct2252727634
9724368501
10313241500
111508a8a80
1288aa2024
134cb85c00
142d85d0cc
151c77746a
hex12abaf9c

313241500 has 144 divisors (see below), whose sum is σ = 810534816. Its totient is φ = 104832000.

The previous prime is 313241479. The next prime is 313241503. The reversal of 313241500 is 5142313.

313241500 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

313241500 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313241503) 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 47 ways as a sum of consecutive naturals, for example, 929332 + ... + 929668.

It is an arithmetic number, because the mean of its divisors is an integer number (5628714).

Almost surely, 2313241500 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 313241500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405267408).

313241500 is an abundant number, since it is smaller than the sum of its proper divisors (497293316).

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

313241500 is a wasteful number, since it uses less digits than its factorization.

313241500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 313241500 is about 17698.6298904746. The cubic root of 313241500 is about 679.1407110325.

Adding to 313241500 its reverse (5142313), we get a palindrome (318383813).

The spelling of 313241500 in words is "three hundred thirteen million, two hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 125 130 143 169 220 250 260 275 286 325 337 338 500 550 572 650 674 676 715 845 1100 1300 1348 1375 1430 1625 1685 1690 1859 2750 2860 3250 3370 3380 3575 3707 3718 4225 4381 5500 6500 6740 7150 7414 7436 8425 8450 8762 9295 14300 14828 16850 16900 17524 17875 18535 18590 21125 21905 33700 35750 37070 37180 42125 42250 43810 46475 48191 56953 71500 74140 84250 84500 87620 92675 92950 96382 109525 113906 168500 185350 185900 192764 219050 227812 232375 240955 284765 370700 438100 463375 464750 481910 547625 569530 626483 926750 929500 963820 1095250 1139060 1204775 1252966 1423825 1853500 2190500 2409550 2505932 2847650 3132415 4819100 5695300 6023875 6264830 7119125 12047750 12529660 14238250 15662075 24095500 28476500 31324150 62648300 78310375 156620750 313241500