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34442870 = 25711411091
BaseRepresentation
bin1000001101100…
…0111001110110
32101210212201212
42003120321312
532304132440
63230121422
7565521350
oct203307166
971725655
1034442870
1118495490
12b650272
13719c2c7
1448080d0
153055465
hex20d8e76

34442870 has 64 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 10464000.

The previous prime is 34442851. The next prime is 34442879. The reversal of 34442870 is 7824443.

34442870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×344428702 = 2372622587673800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31025 + ... + 32115.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 234442870 is an apocalyptic number.

34442870 is an abundant number, since it is smaller than the sum of its proper divisors (44810122).

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

34442870 is a wasteful number, since it uses less digits than its factorization.

34442870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157.

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 34442870 is about 5868.8048187003. The cubic root of 34442870 is about 325.3617116788.

The spelling of 34442870 in words is "thirty-four million, four hundred forty-two thousand, eight hundred seventy".

Divisors: 1 2 5 7 10 11 14 22 35 41 55 70 77 82 110 154 205 287 385 410 451 574 770 902 1091 1435 2182 2255 2870 3157 4510 5455 6314 7637 10910 12001 15274 15785 24002 31570 38185 44731 60005 76370 84007 89462 120010 168014 223655 313117 420035 447310 492041 626234 840070 984082 1565585 2460205 3131170 3444287 4920410 6888574 17221435 34442870