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34000224 = 253354169
BaseRepresentation
bin1000000110110…
…0110101100000
32100222101112120
42001230311200
532201001344
63212424240
7561666006
oct201546540
970871476
1034000224
1118212965
12b478080
13707599b
144730a76
152eb9219
hex206cd60

34000224 has 24 divisors (see below), whose sum is σ = 89250840. Its totient is φ = 11333376.

The previous prime is 34000207. The next prime is 34000247. The reversal of 34000224 is 42200043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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, 176989 + ... + 177180.

It is an arithmetic number, because the mean of its divisors is an integer number (3718785).

Almost surely, 234000224 is an apocalyptic number.

It is an amenable number.

34000224 is an abundant number, since it is smaller than the sum of its proper divisors (55250616).

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

34000224 is a wasteful number, since it uses less digits than its factorization.

34000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354182 (or 354174 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34000224 is about 5830.9711026552. The cubic root of 34000224 is about 323.9618915703.

Adding to 34000224 its reverse (42200043), we get a palindrome (76200267).

The spelling of 34000224 in words is "thirty-four million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 354169 708338 1062507 1416676 2125014 2833352 4250028 5666704 8500056 11333408 17000112 34000224