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34234320 = 2435672129
BaseRepresentation
bin1000001010010…
…1111111010000
32101102021122210
42002211333100
532230444240
63221432120
7563662341
oct202457720
971367583
1034234320
111836282a
12b56b640
1371283c3
1447920c8
153013780
hex20a5fd0

34234320 has 80 divisors (see below), whose sum is σ = 107760960. Its totient is φ = 8988672.

The previous prime is 34234309. The next prime is 34234339. The reversal of 34234320 is 2343243.

It is a tau number, because it is divible by the number of its divisors (80).

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, 15016 + ... + 17144.

It is an arithmetic number, because the mean of its divisors is an integer number (1347012).

Almost surely, 234234320 is an apocalyptic number.

34234320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53880480).

34234320 is an abundant number, since it is smaller than the sum of its proper divisors (73526640).

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

34234320 is a wasteful number, since it uses less digits than its factorization.

34234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 34234320 is about 5851.0101691930. The cubic root of 34234320 is about 324.7036983865.

Adding to 34234320 its reverse (2343243), we get a palindrome (36577563).

The spelling of 34234320 in words is "thirty-four million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2129 2680 3216 4020 4258 5360 6387 8040 8516 10645 12774 16080 17032 21290 25548 31935 34064 42580 51096 63870 85160 102192 127740 142643 170320 255480 285286 427929 510960 570572 713215 855858 1141144 1426430 1711716 2139645 2282288 2852860 3423432 4279290 5705720 6846864 8558580 11411440 17117160 34234320