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34875207224 = 23111350360607
BaseRepresentation
bin100000011110101110…
…010110111000111000
310100000111212002102122
4200132232112320320
51032411023112344
624004344420412
72343145240664
oct403656267070
9110014762378
1034875207224
1113877166410
126913777708
13339a40c3c0
14198bb038a4
15d91b2eaee
hex81eb96e38

34875207224 has 64 divisors (see below), whose sum is σ = 76977008640. Its totient is φ = 14603621760.

The previous prime is 34875207217. The next prime is 34875207239. The reversal of 34875207224 is 42270257843.

34875207224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545129 + ... + 605735.

It is an arithmetic number, because the mean of its divisors is an integer number (1202765760).

Almost surely, 234875207224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34875207224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38488504320).

34875207224 is an abundant number, since it is smaller than the sum of its proper divisors (42101801416).

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

34875207224 is a wasteful number, since it uses less digits than its factorization.

34875207224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61140 (or 61136 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 44.

The spelling of 34875207224 in words is "thirty-four billion, eight hundred seventy-five million, two hundred seven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 503 572 1006 1144 2012 4024 5533 6539 11066 13078 22132 26156 44264 52312 60607 71929 121214 143858 242428 287716 484856 575432 666677 787891 1333354 1575782 2666708 3151564 5333416 6303128 8666801 17333602 30485321 34667204 60970642 69334408 121941284 243882568 335338531 396309173 670677062 792618346 1341354124 1585236692 2682708248 3170473384 4359400903 8718801806 17437603612 34875207224