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34542003312 = 2433593134837
BaseRepresentation
bin100000001010110111…
…010010010001110000
310022011021212120121000
4200022313102101300
51031220223101222
623511323002000
72331661120005
oct401267222160
9108137776530
1034542003312
1113716073383
126840069300
13334638721b
1419597698ac
15d727629ac
hex80add2470

34542003312 has 80 divisors (see below), whose sum is σ = 99316277280. Its totient is φ = 11494499328.

The previous prime is 34542003263. The next prime is 34542003323. The reversal of 34542003312 is 21330024543.

34542003312 is a `hidden beast` number, since 3 + 454 + 200 + 3 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 188758 + ... + 323594.

It is an arithmetic number, because the mean of its divisors is an integer number (1241453466).

Almost surely, 234542003312 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 34542003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49658138640).

34542003312 is an abundant number, since it is smaller than the sum of its proper divisors (64774273968).

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

34542003312 is a wasteful number, since it uses less digits than its factorization.

34542003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135447 (or 135435 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34542003312 its reverse (21330024543), we get a palindrome (55872027855).

The spelling of 34542003312 in words is "thirty-four billion, five hundred forty-two million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 593 1186 1779 2372 3558 4744 5337 7116 9488 10674 14232 16011 21348 28464 32022 42696 64044 85392 128088 134837 256176 269674 404511 539348 809022 1078696 1213533 1618044 2157392 2427066 3236088 3640599 4854132 6472176 7281198 9708264 14562396 19416528 29124792 58249584 79958341 159916682 239875023 319833364 479750046 639666728 719625069 959500092 1279333456 1439250138 1919000184 2158875207 2878500276 3838000368 4317750414 5757000552 8635500828 11514001104 17271001656 34542003312