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313740270 = 233517292357
BaseRepresentation
bin10010101100110…
…100101111101110
3210212100122202000
4102230310233232
51120304142040
651044313130
710526514444
oct2254645756
9725318660
10313740270
11151109788
12890a27a6
134cccbc3c
142d94cb94
151c825130
hex12b34bee

313740270 has 128 divisors (see below), whose sum is σ = 916790400. Its totient is φ = 75995136.

The previous prime is 313740269. The next prime is 313740277. The reversal of 313740270 is 72047313.

Adding to 313740270 its reverse (72047313), we get a palindrome (385787583).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313740277) 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 63 ways as a sum of consecutive naturals, for example, 131932 + ... + 134288.

It is an arithmetic number, because the mean of its divisors is an integer number (7162425).

Almost surely, 2313740270 is an apocalyptic number.

313740270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313740270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458395200).

313740270 is an abundant number, since it is smaller than the sum of its proper divisors (603050130).

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

313740270 is a wasteful number, since it uses less digits than its factorization.

313740270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 313740270 is about 17712.7149245958. The cubic root of 313740270 is about 679.5009819243.

The spelling of 313740270 in words is "three hundred thirteen million, seven hundred forty thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 29 30 34 45 51 54 58 85 87 90 102 135 145 153 170 174 255 261 270 290 306 435 459 493 510 522 765 783 870 918 986 1305 1479 1530 1566 2295 2357 2465 2610 2958 3915 4437 4590 4714 4930 7071 7395 7830 8874 11785 13311 14142 14790 21213 22185 23570 26622 35355 40069 42426 44370 63639 66555 68353 70710 80138 106065 120207 127278 133110 136706 200345 205059 212130 240414 318195 341765 360621 400690 410118 601035 615177 636390 683530 721242 1025295 1081863 1162001 1202070 1230354 1803105 1845531 2050590 2163726 2324002 3075885 3486003 3606210 3691062 5409315 5810005 6151770 6972006 9227655 10458009 10818630 11620010 17430015 18455310 20916018 31374027 34860030 52290045 62748054 104580090 156870135 313740270