Search a number
-
+
34216208 = 2413179919
BaseRepresentation
bin1000001010000…
…1100100010000
32101101100210222
42002201210100
532224404313
63221212212
7563555465
oct202414420
971340728
1034216208
1118350164
12b561068
1371200a0
14478966c
15300d208
hex20a1910

34216208 has 40 divisors (see below), whose sum is σ = 71870400. Its totient is φ = 15686784.

The previous prime is 34216187. The next prime is 34216253. The reversal of 34216208 is 80261243.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36773 + ... + 37691.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 234216208 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 34216208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35935200).

34216208 is an abundant number, since it is smaller than the sum of its proper divisors (37654192).

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

34216208 is a wasteful number, since it uses less digits than its factorization.

34216208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 34216208 is about 5849.4621975016. The cubic root of 34216208 is about 324.6464257351.

The spelling of 34216208 in words is "thirty-four million, two hundred sixteen thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 52 104 179 208 358 716 919 1432 1838 2327 2864 3676 4654 7352 9308 11947 14704 18616 23894 37232 47788 95576 164501 191152 329002 658004 1316008 2138513 2632016 4277026 8554052 17108104 34216208