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34189400 = 2352724421
BaseRepresentation
bin1000001001101…
…1000001011000
32101100000001002
42002123001120
532223030100
63220444132
7563414360
oct202330130
971300032
1034189400
1118332003
12b549648
137110b1b
14477d9a0
1530052d5
hex209b058

34189400 has 48 divisors (see below), whose sum is σ = 90849840. Its totient is φ = 11721600.

The previous prime is 34189381. The next prime is 34189403. The reversal of 34189400 is 498143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34189403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10811 + ... + 13610.

It is an arithmetic number, because the mean of its divisors is an integer number (1892705).

Almost surely, 234189400 is an apocalyptic number.

It is an amenable number.

34189400 is an abundant number, since it is smaller than the sum of its proper divisors (56660440).

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

34189400 is a wasteful number, since it uses less digits than its factorization.

34189400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24444 (or 24435 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 34189400 is about 5847.1702557733. The cubic root of 34189400 is about 324.5616180196.

The spelling of 34189400 in words is "thirty-four million, one hundred eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 24421 48842 97684 122105 170947 195368 244210 341894 488420 610525 683788 854735 976840 1221050 1367576 1709470 2442100 3418940 4273675 4884200 6837880 8547350 17094700 34189400