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340213470 = 235235961137
BaseRepresentation
bin10100010001110…
…011111011011110
3212201011122010220
4110101303323132
51144043312340
653431542210
711300524002
oct2421637336
9781148126
10340213470
11165050463
1295b2a966
135563a85c
1433280702
151ed03ed0
hex14473ede

340213470 has 128 divisors (see below), whose sum is σ = 887086080. Its totient is φ = 83297280.

The previous prime is 340213459. The next prime is 340213477. The reversal of 340213470 is 74312043.

It is a self number, because there is not a number n which added to its sum of digits gives 340213470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340213477) 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, 2483242 + ... + 2483378.

It is an arithmetic number, because the mean of its divisors is an integer number (6930360).

Almost surely, 2340213470 is an apocalyptic number.

340213470 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 340213470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443543040).

340213470 is an abundant number, since it is smaller than the sum of its proper divisors (546872610).

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

340213470 is a wasteful number, since it uses less digits than its factorization.

340213470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 340213470 is about 18444.8765243902. The cubic root of 340213470 is about 698.0992447887.

The spelling of 340213470 in words is "three hundred forty million, two hundred thirteen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 61 69 115 118 122 137 138 177 183 230 274 295 305 345 354 366 411 590 610 685 690 822 885 915 1357 1370 1403 1770 1830 2055 2714 2806 3151 3599 4071 4110 4209 6302 6785 7015 7198 8083 8142 8357 8418 9453 10797 13570 14030 15755 16166 16714 17995 18906 20355 21045 21594 24249 25071 31510 35990 40415 40710 41785 42090 47265 48498 50142 53985 80830 82777 83570 94530 107970 121245 125355 165554 185909 192211 242490 248331 250710 371818 384422 413885 493063 496662 557727 576633 827770 929545 961055 986126 1115454 1153266 1241655 1479189 1859090 1922110 2465315 2483310 2788635 2883165 2958378 4930630 5577270 5766330 7395945 11340449 14791890 22680898 34021347 56702245 68042694 113404490 170106735 340213470