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34840224 = 2532196367
BaseRepresentation
bin1000010011100…
…1111010100000
32102120001210200
42010321322200
532404341344
63242425200
7602064666
oct204717240
972501720
1034840224
1118736a81
12b802200
1372ab123
1448acc36
1530d3069
hex2139ea0

34840224 has 72 divisors (see below), whose sum is σ = 104307840. Its totient is φ = 11000448.

The previous prime is 34840219. The next prime is 34840231. The reversal of 34840224 is 42204843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2289 + ... + 8655.

It is an arithmetic number, because the mean of its divisors is an integer number (1448720).

Almost surely, 234840224 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 34840224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52153920).

34840224 is an abundant number, since it is smaller than the sum of its proper divisors (69467616).

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

34840224 is a wasteful number, since it uses less digits than its factorization.

34840224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 34840224 is about 5902.5608001951. The cubic root of 34840224 is about 326.6081213050.

The spelling of 34840224 in words is "thirty-four million, eight hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 6367 12734 19101 25468 38202 50936 57303 76404 101872 114606 120973 152808 203744 229212 241946 305616 362919 458424 483892 611232 725838 916848 967784 1088757 1451676 1833696 1935568 2177514 2903352 3871136 4355028 5806704 8710056 11613408 17420112 34840224