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34033213300240 = 24571119728045037
BaseRepresentation
bin1111011110011111110011…
…00101101101111000010000
311110111112200011001221001101
413233033321211231320100
513430100010101101430
6200214350425314144
710111550515654420
oct757177145557020
9143445604057041
1034033213300240
11a93144a733790
123997a46335954
1315cb41a24735b
148593057c2480
153e0436a36dca
hex1ef3f996de10

34033213300240 has 160 divisors (see below), whose sum is σ = 99152895308544. Its totient is φ = 10553907947520.

The previous prime is 34033213300211. The next prime is 34033213300259. The reversal of 34033213300240 is 4200331233043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34033213300199 and 34033213300208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12808999 + ... + 15236038.

Almost surely, 234033213300240 is an apocalyptic number.

It is an amenable number.

34033213300240 is an abundant number, since it is smaller than the sum of its proper divisors (65119682008304).

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

34033213300240 is a wasteful number, since it uses less digits than its factorization.

34033213300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28045265 (or 28045259 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 34033213300240 its reverse (4200331233043), we get a palindrome (38233544533283).

The spelling of 34033213300240 in words is "thirty-four trillion, thirty-three billion, two hundred thirteen million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 197 220 280 308 385 394 440 560 616 770 788 880 985 1232 1379 1540 1576 1970 2167 2758 3080 3152 3940 4334 5516 6160 6895 7880 8668 10835 11032 13790 15169 15760 17336 21670 22064 27580 30338 34672 43340 55160 60676 75845 86680 110320 121352 151690 173360 242704 303380 606760 1213520 28045037 56090074 112180148 140225185 196315259 224360296 280450370 308495407 392630518 448720592 560900740 616990814 785261036 981576295 1121801480 1233981628 1542477035 1570522072 1963152590 2159467849 2243602960 2467963256 3084954070 3141044144 3926305180 4318935698 4935926512 5524872289 6169908140 7852610360 8637871396 10797339245 11049744578 12339816280 15705220720 17275742792 21594678490 22099489156 24679632560 27624361445 34551485584 38674106023 43189356980 44198978312 55248722890 60773595179 77348212046 86378713960 88397956624 110497445780 121547190358 154696424092 172757427920 193370530115 220994891560 243094380716 303867975895 309392848184 386741060230 425415166253 441989783120 486188761432 607735951790 618785696368 773482120460 850830332506 972377522864 1215471903580 1546964240920 1701660665012 2127075831265 2430943807160 3093928481840 3403321330024 4254151662530 4861887614320 6806642660048 8508303325060 17016606650120 34033213300240