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34012340120 = 2351127739091
BaseRepresentation
bin11111101011010010…
…110001111110011000
310020210101012220021202
4133223102301332120
51024124124340440
623343002253332
72312600056313
oct375322617630
9106711186252
1034012340120
1113474096600
1267127b7248
133290717555
14190929197a
15d40eda615
hex7eb4b1f98

34012340120 has 96 divisors (see below), whose sum is σ = 84235379760. Its totient is φ = 12350764800.

The previous prime is 34012340101. The next prime is 34012340123. The reversal of 34012340120 is 2104321043.

It is a super-2 number, since 2×340123401202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34012340092 and 34012340101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012340123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3736775 + ... + 3745865.

Almost surely, 234012340120 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 34012340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42117689880).

34012340120 is an abundant number, since it is smaller than the sum of its proper divisors (50223039640).

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

34012340120 is a wasteful number, since it uses less digits than its factorization.

34012340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9897 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34012340120 its reverse (2104321043), we get a palindrome (36116661163).

The spelling of 34012340120 in words is "thirty-four billion, twelve million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 773 968 1210 1546 2420 3092 3865 4840 6184 7730 8503 9091 15460 17006 18182 30920 34012 36364 42515 45455 68024 72728 85030 90910 93533 100001 170060 181820 187066 200002 340120 363640 374132 400004 467665 500005 748264 800008 935330 1000010 1100011 1870660 2000020 2200022 3741320 4000040 4400044 5500055 7027343 8800088 11000110 14054686 22000220 28109372 35136715 44000440 56218744 70273430 77300773 140546860 154601546 281093720 309203092 386503865 618406184 773007730 850308503 1546015460 1700617006 3092030920 3401234012 4251542515 6802468024 8503085030 17006170060 34012340120