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34213312 = 26776369
BaseRepresentation
bin1000001010000…
…0110111000000
32101101012211201
42002200313000
532224311222
63221150544
7563544160
oct202406700
971335751
1034213312
1118348a71
12b55b454
13711b983
1447885a0
15300c427
hex20a0dc0

34213312 has 28 divisors (see below), whose sum is σ = 77591920. Its totient is φ = 14662656.

The previous prime is 34213297. The next prime is 34213313. The reversal of 34213312 is 21331243.

It is a tau number, because it is divible by the number of its divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 34213312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37737 + ... + 38632.

It is an arithmetic number, because the mean of its divisors is an integer number (2771140).

Almost surely, 234213312 is an apocalyptic number.

34213312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34213312 is an abundant number, since it is smaller than the sum of its proper divisors (43378608).

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

34213312 is an equidigital number, since it uses as much as digits as its factorization.

34213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76388 (or 76378 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 34213312 is about 5849.2146481387. The cubic root of 34213312 is about 324.6372663081.

Adding to 34213312 its reverse (21331243), we get a palindrome (55544555).

The spelling of 34213312 in words is "thirty-four million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 76369 152738 305476 534583 610952 1069166 1221904 2138332 2443808 4276664 4887616 8553328 17106656 34213312