Search a number
-
+
34210112 = 263143401
BaseRepresentation
bin1000001010000…
…0000101000000
32101101001110012
42002200011000
532224210422
63221124052
7563531636
oct202400500
971331405
1034210112
1118346622
12b559628
13711a391
144787356
15300b4e2
hex20a0140

34210112 has 56 divisors (see below), whose sum is σ = 71884032. Its totient is φ = 16128000.

The previous prime is 34210091. The next prime is 34210123. The reversal of 34210112 is 21101243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85112 + ... + 85512.

Almost surely, 234210112 is an apocalyptic number.

34210112 is a gapful number since it is divisible by the number (32) 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 34210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35942016).

34210112 is an abundant number, since it is smaller than the sum of its proper divisors (37673920).

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

34210112 is a wasteful number, since it uses less digits than its factorization.

34210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 34210112 is about 5848.9411007464. The cubic root of 34210112 is about 324.6271447932.

Adding to 34210112 its reverse (21101243), we get a palindrome (55311355).

The spelling of 34210112 in words is "thirty-four million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 172 248 344 401 496 688 802 992 1333 1376 1604 1984 2666 2752 3208 5332 6416 10664 12431 12832 17243 21328 24862 25664 34486 42656 49724 68972 85312 99448 137944 198896 275888 397792 534533 551776 795584 1069066 1103552 2138132 4276264 8552528 17105056 34210112