Search a number
-
+
34450312 = 2313283307
BaseRepresentation
bin1000001101101…
…0101110001000
32101211020221111
42003122232020
532304402222
63230220104
7565552141
oct203325610
971736844
1034450312
11184a0036
12b654634
1371a2800
14480aac8
153057777
hex20dab88

34450312 has 48 divisors (see below), whose sum is σ = 71018640. Its totient is φ = 15657408.

The previous prime is 34450309. The next prime is 34450327. The reversal of 34450312 is 21305443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112063 + ... + 112369.

It is an arithmetic number, because the mean of its divisors is an integer number (1479555).

Almost surely, 234450312 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 34450312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35509320).

34450312 is an abundant number, since it is smaller than the sum of its proper divisors (36568328).

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

34450312 is a wasteful number, since it uses less digits than its factorization.

34450312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 34450312 is about 5869.4388147420. The cubic root of 34450312 is about 325.3851434030.

Adding to 34450312 its reverse (21305443), we get a palindrome (55755755).

The spelling of 34450312 in words is "thirty-four million, four hundred fifty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 83 104 166 169 307 332 338 614 664 676 1079 1228 1352 2158 2456 3991 4316 7982 8632 14027 15964 25481 28054 31928 50962 51883 56108 101924 103766 112216 203848 207532 331253 415064 662506 1325012 2650024 4306289 8612578 17225156 34450312