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34634275134 = 23171979226217
BaseRepresentation
bin100000010000010111…
…010001100100111110
310022101201111110201220
4200100113101210332
51031412333301014
623524420414210
72334161324034
oct402027214476
9108351443656
1034634275134
1113763166588
126866b47366
13335c523234
141967b08554
15d7a8dc6a9
hex8105d193e

34634275134 has 64 divisors (see below), whose sum is σ = 78180940800. Its totient is φ = 10163432448.

The previous prime is 34634275129. The next prime is 34634275139. The reversal of 34634275134 is 43157243643.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34634275129) and next prime (34634275139).

It is a super-4 number, since 4×346342751344 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34634275139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39994 + ... + 266210.

It is an arithmetic number, because the mean of its divisors is an integer number (1221577200).

Almost surely, 234634275134 is an apocalyptic number.

34634275134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34634275134 is an abundant number, since it is smaller than the sum of its proper divisors (43546665666).

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

34634275134 is a wasteful number, since it uses less digits than its factorization.

34634275134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226337.

The product of its digits is 725760, while the sum is 42.

The spelling of 34634275134 in words is "thirty-four billion, six hundred thirty-four million, two hundred seventy-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 17 19 34 38 51 57 79 102 114 158 237 323 474 646 969 1343 1501 1938 2686 3002 4029 4503 8058 9006 25517 51034 76551 153102 226217 452434 678651 1357302 3845689 4298123 7691378 8596246 11537067 12894369 17871143 23074134 25788738 35742286 53613429 73068091 107226858 146136182 219204273 303809431 339551717 438408546 607618862 679103434 911428293 1018655151 1822856586 2037310302 5772379189 11544758378 17317137567 34634275134