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34133104350 = 235522809309
BaseRepresentation
bin11111110010011111…
…011101011011011110
310021002210110100200000
4133302133131123132
51024401033314400
623402554515130
72315564412522
oct376237353336
9107083410600
1034133104350
111352627a554
126747135aa6
1332ac74b287
14191b329d82
15d4b8e2600
hex7f27dd6de

34133104350 has 72 divisors (see below), whose sum is σ = 95100762120. Its totient is φ = 9102157920.

The previous prime is 34133104331. The next prime is 34133104351. The reversal of 34133104350 is 5340133143.

34133104350 is a `hidden beast` number, since 341 + 3 + 310 + 4 + 3 + 5 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133104351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1392505 + ... + 1416804.

Almost surely, 234133104350 is an apocalyptic number.

34133104350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34133104350 is an abundant number, since it is smaller than the sum of its proper divisors (60967657770).

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

34133104350 is a wasteful number, since it uses less digits than its factorization.

34133104350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809336 (or 2809319 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 34133104350 its reverse (5340133143), we get a palindrome (39473237493).

The spelling of 34133104350 in words is "thirty-four billion, one hundred thirty-three million, one hundred four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 2025 2430 4050 6075 12150 2809309 5618618 8427927 14046545 16855854 25283781 28093090 42139635 50567562 70232725 75851343 84279270 126418905 140465450 151702686 210698175 227554029 252837810 379256715 421396350 455108058 632094525 682662087 758513430 1137770145 1264189050 1365324174 1896283575 2275540290 3413310435 3792567150 5688850725 6826620870 11377701450 17066552175 34133104350