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34316730 = 2335767271
BaseRepresentation
bin1000001011101…
…0000110111010
32101120110201000
42002322012322
532241113410
63223305430
7564454530
oct202720672
971513630
1034316730
1118409738
12b5ab276
137156a76
1447b4150
15302cdc0
hex20ba1ba

34316730 has 128 divisors (see below), whose sum is σ = 106536960. Its totient is φ = 7698240.

The previous prime is 34316687. The next prime is 34316747. The reversal of 34316730 is 3761343.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 34316694 and 34316703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126495 + ... + 126765.

It is an arithmetic number, because the mean of its divisors is an integer number (832320).

Almost surely, 234316730 is an apocalyptic number.

34316730 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 34316730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53268480).

34316730 is an abundant number, since it is smaller than the sum of its proper divisors (72220230).

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

34316730 is a wasteful number, since it uses less digits than its factorization.

34316730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 34316730 is about 5858.0483098042. The cubic root of 34316730 is about 324.9640354680.

The spelling of 34316730 in words is "thirty-four million, three hundred sixteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 67 70 90 105 126 134 135 189 201 210 270 271 315 335 378 402 469 542 603 630 670 813 938 945 1005 1206 1355 1407 1626 1809 1890 1897 2010 2345 2439 2710 2814 3015 3618 3794 4065 4221 4690 4878 5691 6030 7035 7317 8130 8442 9045 9485 11382 12195 12663 14070 14634 17073 18090 18157 18970 21105 24390 25326 28455 34146 36314 36585 42210 51219 54471 56910 63315 73170 85365 90785 102438 108942 126630 127099 163413 170730 181570 254198 256095 272355 326826 381297 490239 512190 544710 635495 762594 817065 980478 1143891 1270990 1634130 1906485 2287782 2451195 3431673 3812970 4902390 5719455 6863346 11438910 17158365 34316730