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34203041235 = 33511192941801
BaseRepresentation
bin11111110110101010…
…001111110111010011
310021021200001112001000
4133312222033313103
51030021434304420
623413533513043
72320404024246
oct376652176723
9107250045030
1034203041235
11135617a8130
126766642783
1332c109714c
14192673325d
15d52b09690
hex7f6a8fdd3

34203041235 has 128 divisors (see below), whose sum is σ = 72233856000. Its totient is φ = 15168384000.

The previous prime is 34203041189. The next prime is 34203041263. The reversal of 34203041235 is 53214030243.

34203041235 is a `hidden beast` number, since 3 + 420 + 3 + 0 + 4 + 1 + 235 = 666.

It is not a de Polignac number, because 34203041235 - 27 = 34203041107 is a prime.

It is a super-2 number, since 2×342030412352 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34203041199 and 34203041208.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 797335 + ... + 839135.

It is an arithmetic number, because the mean of its divisors is an integer number (564327000).

Almost surely, 234203041235 is an apocalyptic number.

34203041235 is an abundant number, since it is smaller than the sum of its proper divisors (38030814765).

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

34203041235 is a wasteful number, since it uses less digits than its factorization.

34203041235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41874 (or 41868 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34203041235 its reverse (53214030243), we get a palindrome (87417071478).

The spelling of 34203041235 in words is "thirty-four billion, two hundred three million, forty-one thousand, two hundred thirty-five".

Divisors: 1 3 5 9 11 15 19 27 29 33 45 55 57 87 95 99 135 145 165 171 209 261 285 297 319 435 495 513 551 627 783 855 957 1045 1305 1485 1595 1653 1881 2565 2755 2871 3135 3915 4785 4959 5643 6061 8265 8613 9405 14355 14877 18183 24795 28215 30305 41801 43065 54549 74385 90915 125403 163647 209005 272745 376209 459811 627015 794219 818235 1128627 1212229 1379433 1881045 2299055 2382657 3636687 3971095 4138299 5643135 6061145 6897165 7147971 8736409 10910061 11913285 12414897 13334519 18183435 20691495 21443913 23032351 26209227 32730183 35739855 40003557 43682045 54550305 62074485 66672595 69097053 78627681 107219565 115161755 120010671 131046135 163650915 200017785 207291159 235883043 253355861 345485265 360032013 393138405 600053355 621873477 760067583 1036455795 1179415215 1266779305 1800160065 2280202749 3109367385 3800337915 6840608247 11401013745 34203041235