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34134130306 = 21719238389311
BaseRepresentation
bin11111110010100011…
…010111111010000010
310021002212101111000101
4133302203113322002
51024401314132211
623403032513014
72315606214613
oct376243277202
9107085344011
1034134130306
1113526910351
12674754b76a
1332aca1a253
14191b515c0a
15d4ba465c1
hex7f28d7e82

34134130306 has 128 divisors (see below), whose sum is σ = 61138022400. Its totient is φ = 14173378560.

The previous prime is 34134130291. The next prime is 34134130313. The reversal of 34134130306 is 60303143143.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109755891 + ... + 109756201.

It is an arithmetic number, because the mean of its divisors is an integer number (477640800).

Almost surely, 234134130306 is an apocalyptic number.

34134130306 is a deficient number, since it is larger than the sum of its proper divisors (27003892094).

34134130306 is a wasteful number, since it uses less digits than its factorization.

34134130306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 34134130306 its reverse (60303143143), we get a palindrome (94437273449).

The spelling of 34134130306 in words is "thirty-four billion, one hundred thirty-four million, one hundred thirty thousand, three hundred six".

Divisors: 1 2 17 19 23 34 38 46 83 89 166 178 311 323 391 437 622 646 782 874 1411 1513 1577 1691 1909 2047 2822 3026 3154 3382 3818 4094 5287 5909 7153 7387 7429 10574 11818 14306 14774 14858 25813 26809 27679 28747 32453 34799 36271 38893 51626 53618 55358 57494 64906 69598 72542 77786 100453 121601 125579 135907 140353 169901 200906 243202 251158 271814 280706 339802 438821 470543 490447 525901 593699 616607 636617 661181 877642 941086 980894 1051802 1187398 1233214 1273234 1322362 2297357 2310419 2386001 2888317 3228119 4594714 4620838 4772002 5776634 6456238 8337599 8940317 10092883 10822489 11280281 12095723 16675198 17880634 20185766 21644978 22560562 24191446 39055069 43649783 52839211 54878023 78110138 87299566 105678422 109756046 191764777 205627291 383529554 411254582 742046311 898266587 1003945009 1484092622 1796533174 2007890018 17067065153 34134130306