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34314210 = 23257231251
BaseRepresentation
bin1000001011100…
…1011111100010
32101120100020200
42002321133202
532241023320
63223250030
7564444300
oct202713742
971510220
1034314210
1118407857
12b5a9916
137155888
1447b3270
15302c290
hex20b97e2

34314210 has 144 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 7560000.

The previous prime is 34314199. The next prime is 34314227. The reversal of 34314210 is 1241343.

34314210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136585 + ... + 136835.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 234314210 is an apocalyptic number.

34314210 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 34314210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

34314210 is an abundant number, since it is smaller than the sum of its proper divisors (73243422).

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

34314210 is a wasteful number, since it uses less digits than its factorization.

34314210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34314210 is about 5857.8332171546. The cubic root of 34314210 is about 324.9560808502.

Adding to 34314210 its reverse (1241343), we get a palindrome (35555553).

The spelling of 34314210 in words is "thirty-four million, three hundred fourteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 49 62 63 70 90 93 98 105 126 147 155 186 210 217 245 251 279 294 310 315 434 441 465 490 502 558 630 651 735 753 882 930 1085 1255 1302 1395 1470 1506 1519 1757 1953 2170 2205 2259 2510 2790 3038 3255 3514 3765 3906 4410 4518 4557 5271 6510 7530 7595 7781 8785 9114 9765 10542 11295 12299 13671 15190 15562 15813 17570 19530 22590 22785 23343 24598 26355 27342 31626 36897 38905 45570 46686 52710 54467 61495 68355 70029 73794 77810 79065 108934 110691 116715 122990 136710 140058 158130 163401 184485 221382 233430 272335 326802 350145 368970 381269 490203 544670 553455 700290 762538 817005 980406 1106910 1143807 1634010 1906345 2287614 2451015 3431421 3812690 4902030 5719035 6862842 11438070 17157105 34314210