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34434224 = 2411972017
BaseRepresentation
bin1000001101011…
…0110010110000
32101210102212122
42003112302300
532303343344
63230013412
7565454216
oct203266260
971712778
1034434224
1118489a40
12b647268
1371983a6
144804cb6
153052aee
hex20d6cb0

34434224 has 40 divisors (see below), whose sum is σ = 73568208. Its totient is φ = 15482880.

The previous prime is 34434217. The next prime is 34434247. The reversal of 34434224 is 42243443.

It is a junction number, because it is equal to n+sod(n) for n = 34434193 and 34434202.

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 7 ways as a sum of consecutive naturals, for example, 16064 + ... + 18080.

Almost surely, 234434224 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 34434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36784104).

34434224 is an abundant number, since it is smaller than the sum of its proper divisors (39133984).

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

34434224 is a wasteful number, since it uses less digits than its factorization.

34434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2127 counting only the distinct ones).

The product of its digits is 9216, while the sum is 26.

The square root of 34434224 is about 5868.0681659299. The cubic root of 34434224 is about 325.3344848268.

Adding to 34434224 its reverse (42243443), we get a palindrome (76677667).

It can be divided in two parts, 3443 and 4224, that added together give a palindrome (7667).

The spelling of 34434224 in words is "thirty-four million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 388 776 1067 1552 2017 2134 4034 4268 8068 8536 16136 17072 22187 32272 44374 88748 177496 195649 354992 391298 782596 1565192 2152139 3130384 4304278 8608556 17217112 34434224