Search a number
-
+
34619064 = 2331931279
BaseRepresentation
bin1000010000001…
…1111010111000
32102010211102120
42010003322320
532330302224
63234001240
7600154134
oct204037270
972124376
1034619064
11185a58a7
12b716220
13723156c
1448523c4
15308c779
hex2103eb8

34619064 has 96 divisors (see below), whose sum is σ = 95328000. Its totient is φ = 10445760.

The previous prime is 34619059. The next prime is 34619099. The reversal of 34619064 is 46091643.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 438177 + ... + 438255.

It is an arithmetic number, because the mean of its divisors is an integer number (993000).

Almost surely, 234619064 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 34619064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47664000).

34619064 is an abundant number, since it is smaller than the sum of its proper divisors (60708936).

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

34619064 is a wasteful number, since it uses less digits than its factorization.

34619064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 34619064 is about 5883.7967334027. The cubic root of 34619064 is about 325.9155689865.

The spelling of 34619064 in words is "thirty-four million, six hundred nineteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 79 93 114 124 152 158 186 228 237 248 316 372 456 474 589 632 744 948 961 1178 1501 1767 1896 1922 2356 2449 2883 3002 3534 3844 4503 4712 4898 5766 6004 7068 7347 7688 9006 9796 11532 12008 14136 14694 18012 18259 19592 23064 29388 36024 36518 46531 54777 58776 73036 75919 93062 109554 139593 146072 151838 186124 219108 227757 279186 303676 372248 438216 455514 558372 607352 911028 1116744 1442461 1822056 2884922 4327383 5769844 8654766 11539688 17309532 34619064