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234420340 = 225711292181
BaseRepresentation
bin11011111100011…
…11100001110100
3121100002210020211
431332033201310
5440002422330
635132235204
75544353140
oct1576174164
9540083224
10234420340
11110362520
126660bb04
133974927b
14231c2220
15158a7d2a
hexdf8f874

234420340 has 144 divisors (see below), whose sum is σ = 639160704. Its totient is φ = 70156800.

The previous prime is 234420331. The next prime is 234420341. The reversal of 234420340 is 43024432.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234420341) 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, 1295050 + ... + 1295230.

It is an arithmetic number, because the mean of its divisors is an integer number (4438616).

Almost surely, 2234420340 is an apocalyptic number.

234420340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319580352).

234420340 is an abundant number, since it is smaller than the sum of its proper divisors (404740364).

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

234420340 is a wasteful number, since it uses less digits than its factorization.

234420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 234420340 is about 15310.7916189856. The cubic root of 234420340 is about 616.5927735500.

Adding to 234420340 its reverse (43024432), we get a palindrome (277444772).

The spelling of 234420340 in words is "two hundred thirty-four million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 181 203 220 290 308 319 362 385 406 580 638 724 770 812 841 905 1015 1267 1276 1540 1595 1682 1810 1991 2030 2233 2534 3190 3364 3620 3982 4060 4205 4466 5068 5249 5887 6335 6380 7964 8410 8932 9251 9955 10498 11165 11774 12670 13937 16820 18502 19910 20996 22330 23548 25340 26245 27874 29435 36743 37004 39820 44660 46255 52490 55748 57739 58870 64757 69685 73486 92510 104980 115478 117740 129514 139370 146972 152221 183715 185020 230956 259028 278740 288695 304442 323785 367430 404173 577390 608884 647570 734860 761105 808346 1065547 1154780 1295140 1522210 1616692 1674431 2020865 2131094 3044420 3348862 4041730 4262188 5327735 6697724 8083460 8372155 10655470 11721017 16744310 21310940 23442034 33488620 46884068 58605085 117210170 234420340