Search a number
-
+
34086336 = 263177533
BaseRepresentation
bin1000001000000…
…1110111000000
32101010202122220
42002001313000
532211230321
63214331040
7562505034
oct202016700
971122586
1034086336
1118271629
12b4b9a80
1370a5c3b
1447541c4
152ed49c6
hex2081dc0

34086336 has 28 divisors (see below), whose sum is σ = 90187272. Its totient is φ = 11362048.

The previous prime is 34086313. The next prime is 34086341. The reversal of 34086336 is 63368043.

It is a junction number, because it is equal to n+sod(n) for n = 34086297 and 34086306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88575 + ... + 88958.

It is an arithmetic number, because the mean of its divisors is an integer number (3220974).

Almost surely, 234086336 is an apocalyptic number.

It is an amenable number.

34086336 is an abundant number, since it is smaller than the sum of its proper divisors (56100936).

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

34086336 is a wasteful number, since it uses less digits than its factorization.

34086336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177548 (or 177538 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 34086336 is about 5838.3504519684. The cubic root of 34086336 is about 324.2351592603.

The spelling of 34086336 in words is "thirty-four million, eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 177533 355066 532599 710132 1065198 1420264 2130396 2840528 4260792 5681056 8521584 11362112 17043168 34086336