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34023324500 = 22531123311699
BaseRepresentation
bin11111101011111100…
…101011101101010100
310020211010212222000122
4133223330223231110
51024134432341000
623344033531112
72313062325614
oct375374535524
9106733788018
1034023324500
111347a309300
126716413a98
133292a92199
14190a910a44
15d41e5a085
hex7ebf2bb54

34023324500 has 144 divisors (see below), whose sum is σ = 81971198400. Its totient is φ = 12327480000.

The previous prime is 34023324481. The next prime is 34023324509. The reversal of 34023324500 is 542332043.

It is a super-2 number, since 2×340233245002 (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 34023324500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023324509) 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 47 ways as a sum of consecutive naturals, for example, 20024651 + ... + 20026349.

Almost surely, 234023324500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34023324500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40985599200).

34023324500 is an abundant number, since it is smaller than the sum of its proper divisors (47947873900).

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

34023324500 is a wasteful number, since it uses less digits than its factorization.

34023324500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 34023324500 its reverse (542332043), we get a palindrome (34565656543).

The spelling of 34023324500 in words is "thirty-four billion, twenty-three million, three hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 220 242 250 275 331 484 500 550 605 662 1100 1210 1324 1375 1655 1699 2420 2750 3025 3310 3398 3641 5500 6050 6620 6796 7282 8275 8495 12100 14564 15125 16550 16990 18205 18689 30250 33100 33980 36410 37378 40051 41375 42475 60500 72820 74756 80102 82750 84950 91025 93445 160204 165500 169900 182050 186890 200255 205579 212375 364100 373780 400510 411158 424750 455125 467225 562369 801020 822316 849500 910250 934450 1001275 1027895 1124738 1820500 1868900 2002550 2055790 2249476 2336125 2811845 4005100 4111580 4672250 5006375 5139475 5623690 6186059 9344500 10012750 10278950 11247380 12372118 14059225 20025500 20557900 24744236 25697375 28118450 30930295 51394750 56236900 61860590 68046649 70296125 102789500 123721180 136093298 140592250 154651475 272186596 281184500 309302950 340233245 618605900 680466490 773257375 1360932980 1546514750 1701166225 3093029500 3402332450 6804664900 8505831125 17011662250 34023324500