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34201504434 = 2317283923509
BaseRepresentation
bin11111110110100100…
…011000101010110010
310021021120011102221110
4133312210120222302
51030021041120214
623413440534150
72320354663626
oct376644305262
9107246142843
1034201504434
1113560948549
126766021356
1332c09797b6
141926453186
15d52904159
hex7f6918ab2

34201504434 has 48 divisors (see below), whose sum is σ = 72753105600. Its totient is φ = 10716638976.

The previous prime is 34201504433. The next prime is 34201504483. The reversal of 34201504434 is 43440510243.

It is not an unprimeable number, because it can be changed into a prime (34201504433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443072 + ... + 1466580.

It is an arithmetic number, because the mean of its divisors is an integer number (1515689700).

Almost surely, 234201504434 is an apocalyptic number.

34201504434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34201504434 is an abundant number, since it is smaller than the sum of its proper divisors (38551601166).

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

34201504434 is a wasteful number, since it uses less digits than its factorization.

34201504434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24387 (or 24370 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 34201504434 in words is "thirty-four billion, two hundred one million, five hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 102 289 578 839 867 1678 1734 2517 5034 14263 23509 28526 42789 47018 70527 85578 141054 242471 399653 484942 727413 799306 1198959 1454826 2397918 6794101 13588202 19724051 20382303 39448102 40764606 59172153 118344306 335308867 670617734 1005926601 2011853202 5700250739 11400501478 17100752217 34201504434