Search a number
-
+
34458695310 = 23513478832129
BaseRepresentation
bin100000000101111001…
…011111011010001110
310021221111010002111110
4200011321133122032
51031032411222220
623455145232450
72326630035354
oct400571373216
9107844102443
1034458695310
1113683042896
126818192726
133332039250
14194c6817d4
15d6a2a8be0
hex805e5f68e

34458695310 has 128 divisors (see below), whose sum is σ = 91103201280. Its totient is φ = 8288372736.

The previous prime is 34458695273. The next prime is 34458695321. The reversal of 34458695310 is 1359685443.

34458695310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×344586953102 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34458695310.

It is a congruent number.

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, 16184326 + ... + 16186454.

It is an arithmetic number, because the mean of its divisors is an integer number (711743760).

Almost surely, 234458695310 is an apocalyptic number.

34458695310 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 34458695310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45551600640).

34458695310 is an abundant number, since it is smaller than the sum of its proper divisors (56644505970).

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

34458695310 is a wasteful number, since it uses less digits than its factorization.

34458695310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 34458695310 in words is "thirty-four billion, four hundred fifty-eight million, six hundred ninety-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 195 235 282 390 470 611 705 883 1222 1410 1766 1833 2129 2649 3055 3666 4258 4415 5298 6110 6387 8830 9165 10645 11479 12774 13245 18330 21290 22958 26490 27677 31935 34437 41501 55354 57395 63870 68874 83002 83031 100063 114790 124503 138385 166062 172185 200126 207505 249006 276770 300189 344370 415010 415155 500315 539513 600378 622515 830310 1000630 1079026 1245030 1300819 1500945 1618539 1879907 2601638 2697565 3001890 3237078 3759814 3902457 5395130 5639721 6504095 7804914 8092695 9399535 11279442 13008190 16185390 18799070 19512285 24438791 28198605 39024570 48877582 56397210 73316373 88355629 122193955 146632746 176711258 244387910 265066887 366581865 441778145 530133774 733163730 883556290 1148623177 1325334435 2297246354 2650668870 3445869531 5743115885 6891739062 11486231770 17229347655 34458695310