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34225360 = 2451332909
BaseRepresentation
bin1000001010001…
…1110011010000
32101101211100221
42002203303100
532230202420
63221322424
7563624251
oct202436320
971354327
1034225360
1118357024
12b566414
1371242c0
14478cb28
153010caa
hex20a3cd0

34225360 has 40 divisors (see below), whose sum is σ = 85697640. Its totient is φ = 12636672.

The previous prime is 34225351. The next prime is 34225379. The reversal of 34225360 is 6352243.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3489424 + 30735936 = 1868^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15415 + ... + 17494.

It is an arithmetic number, because the mean of its divisors is an integer number (2142441).

Almost surely, 234225360 is an apocalyptic number.

It is an amenable number.

34225360 is an abundant number, since it is smaller than the sum of its proper divisors (51472280).

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

34225360 is a wasteful number, since it uses less digits than its factorization.

34225360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32935 (or 32929 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 34225360 is about 5850.2444393376. The cubic root of 34225360 is about 324.6753681515.

The spelling of 34225360 in words is "thirty-four million, two hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 32909 65818 131636 164545 263272 329090 427817 526544 658180 855634 1316360 1711268 2139085 2632720 3422536 4278170 6845072 8556340 17112680 34225360