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34355304240 = 24352347132421
BaseRepresentation
bin11111111111101111…
…000101011100110000
310021200021120021121120
4133333233011130300
51030324424213430
623441013222240
72324233160565
oct377757053460
9107607507546
1034355304240
111362a745624
1267a9631980
1333167a90ba
14193ca4a86c
15d61184610
hex7ffbc5730

34355304240 has 160 divisors (see below), whose sum is σ = 113497307136. Its totient is φ = 8576578560.

The previous prime is 34355304239. The next prime is 34355304241. The reversal of 34355304240 is 4240355343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34355304239) and next prime (34355304241).

It is not an unprimeable number, because it can be changed into a prime (34355304241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193230 + ... + 325650.

Almost surely, 234355304240 is an apocalyptic number.

34355304240 is a gapful number since it is divisible by the number (30) 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 34355304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56748653568).

34355304240 is an abundant number, since it is smaller than the sum of its proper divisors (79142002896).

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

34355304240 is a wasteful number, since it uses less digits than its factorization.

34355304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132507 (or 132501 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 34355304240 its reverse (4240355343), we get a palindrome (38595659583).

The spelling of 34355304240 in words is "thirty-four billion, three hundred fifty-five million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 47 48 60 69 80 92 94 115 120 138 141 184 188 230 235 240 276 282 345 368 376 460 470 552 564 690 705 752 920 940 1081 1104 1128 1380 1410 1840 1880 2162 2256 2760 2820 3243 3760 4324 5405 5520 5640 6486 8648 10810 11280 12972 16215 17296 21620 25944 32430 43240 51888 64860 86480 129720 132421 259440 264842 397263 529684 662105 794526 1059368 1324210 1589052 1986315 2118736 2648420 3045683 3178104 3972630 5296840 6091366 6223787 6356208 7945260 9137049 10593680 12182732 12447574 15228415 15890520 18274098 18671361 24365464 24895148 30456830 31118935 31781040 36548196 37342722 45685245 48730928 49790296 60913660 62237870 73096392 74685444 91370490 93356805 99580592 121827320 124475740 143147101 146192784 149370888 182740980 186713610 243654640 248951480 286294202 298741776 365481960 373427220 429441303 497902960 572588404 715735505 730963920 746854440 858882606 1145176808 1431471010 1493708880 1717765212 2147206515 2290353616 2862942020 3435530424 4294413030 5725884040 6871060848 8588826060 11451768080 17177652120 34355304240