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34243880 = 23511223349
BaseRepresentation
bin1000001010100…
…0010100101000
32101102202202212
42002220110220
532231301010
63221544252
7564032246
oct202502450
971382685
1034243880
1118369a30
12b575088
13712c868
144795796
153016505
hex20a8528

34243880 has 64 divisors (see below), whose sum is σ = 84672000. Its totient is φ = 12360960.

The previous prime is 34243873. The next prime is 34243889. The reversal of 34243880 is 8834243.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34243889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97946 + ... + 98294.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 234243880 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 34243880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336000).

34243880 is an abundant number, since it is smaller than the sum of its proper divisors (50428120).

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

34243880 is a wasteful number, since it uses less digits than its factorization.

34243880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 34243880 is about 5851.8270651139. The cubic root of 34243880 is about 324.7339202852.

The spelling of 34243880 in words is "thirty-four million, two hundred forty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 223 349 440 446 698 892 1115 1396 1745 1784 2230 2453 2792 3490 3839 4460 4906 6980 7678 8920 9812 12265 13960 15356 19195 19624 24530 30712 38390 49060 76780 77827 98120 153560 155654 311308 389135 622616 778270 856097 1556540 1712194 3113080 3424388 4280485 6848776 8560970 17121940 34243880