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34383690 = 23451117227
BaseRepresentation
bin1000001100101…
…0011101001010
32101200212120000
42003022131022
532300234230
63224543430
7565153665
oct203123512
971625500
1034383690
1118454a80
12b621b76
13717b3a3
1447d06dc
153042b60
hex20ca74a

34383690 has 160 divisors (see below), whose sum is σ = 107262144. Its totient is φ = 7810560.

The previous prime is 34383683. The next prime is 34383691. The reversal of 34383690 is 9638343.

It is a super-2 number, since 2×343836902 = 2364476276032200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34383691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151357 + ... + 151583.

Almost surely, 234383690 is an apocalyptic number.

34383690 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 34383690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53631072).

34383690 is an abundant number, since it is smaller than the sum of its proper divisors (72878454).

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

34383690 is a wasteful number, since it uses less digits than its factorization.

34383690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 34383690 is about 5863.7607386386. The cubic root of 34383690 is about 325.1752585308.

The spelling of 34383690 in words is "thirty-four million, three hundred eighty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 81 85 90 99 102 110 135 153 162 165 170 187 198 227 255 270 297 306 330 374 405 454 459 495 510 561 594 681 765 810 891 918 935 990 1122 1135 1362 1377 1485 1530 1683 1782 1870 2043 2270 2295 2497 2754 2805 2970 3366 3405 3859 4086 4455 4590 4994 5049 5610 6129 6810 6885 7491 7718 8415 8910 10098 10215 11577 12258 12485 13770 14982 15147 16830 18387 19295 20430 22473 23154 24970 25245 30294 30645 34731 36774 37455 38590 42449 44946 50490 57885 61290 67419 69462 74910 75735 84898 91935 104193 112365 115770 127347 134838 151470 173655 183870 202257 208386 212245 224730 254694 312579 337095 347310 382041 404514 424490 520965 625158 636735 674190 764082 1011285 1041930 1146123 1273470 1562895 1910205 2022570 2292246 3125790 3438369 3820410 5730615 6876738 11461230 17191845 34383690