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342351303525 = 325271119760537
BaseRepresentation
bin1001111101101011011…
…10100101001101100101
31012201200001101011022100
410332311232211031211
521102113413203100
6421135104322313
733506533031430
oct4766556451545
91181601334270
10342351303525
111222104274a0
1256424913399
132638c079b1a
14127d9ad4817
158d8a7ed400
hex4fb5ba5365

342351303525 has 72 divisors (see below), whose sum is σ = 764495694144. Its totient is φ = 142275859200.

The previous prime is 342351303479. The next prime is 342351303533. The reversal of 342351303525 is 525303153243.

342351303525 is a `hidden beast` number, since 34 + 23 + 51 + 30 + 3 + 525 = 666.

It is not a de Polignac number, because 342351303525 - 29 = 342351303013 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 342351303525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9862944 + ... + 9897593.

It is an arithmetic number, because the mean of its divisors is an integer number (10617995752).

Almost surely, 2342351303525 is an apocalyptic number.

342351303525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

342351303525 is an abundant number, since it is smaller than the sum of its proper divisors (422144390619).

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

342351303525 is a wasteful number, since it uses less digits than its factorization.

342351303525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19760571 (or 19760563 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 342351303525 its reverse (525303153243), we get a palindrome (867654456768).

The spelling of 342351303525 in words is "three hundred forty-two billion, three hundred fifty-one million, three hundred three thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 17325 19760537 59281611 98802685 138323759 177844833 217365907 296408055 414971277 494013425 652097721 691618795 889224165 1086829535 1244913831 1482040275 1521561349 1956293163 2074856385 3260488605 3458093975 4446120825 4564684047 5434147675 6224569155 7607806745 9781465815 10374281925 13694052141 16302443025 22823420235 31122845775 38039033725 48907329075 68470260705 114117101175 342351303525