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34561640 = 2352337567
BaseRepresentation
bin1000001111010…
…1111001101000
32102000220122202
42003311321220
532321433030
63232435332
7566524541
oct203657150
972026582
1034561640
1118566743
12b6a8b48
137211399
1448394c8
15307a745
hex20f5e68

34561640 has 32 divisors (see below), whose sum is σ = 81146880. Its totient is φ = 13223232.

The previous prime is 34561607. The next prime is 34561651. The reversal of 34561640 is 4616543.

It is a happy number.

34561640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17864 + ... + 19703.

It is an arithmetic number, because the mean of its divisors is an integer number (2535840).

Almost surely, 234561640 is an apocalyptic number.

It is an amenable number.

34561640 is an abundant number, since it is smaller than the sum of its proper divisors (46585240).

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

34561640 is a wasteful number, since it uses less digits than its factorization.

34561640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37601 (or 37597 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 34561640 is about 5878.9148658575. The cubic root of 34561640 is about 325.7352662767.

The spelling of 34561640 in words is "thirty-four million, five hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 37567 75134 150268 187835 300536 375670 751340 864041 1502680 1728082 3456164 4320205 6912328 8640410 17280820 34561640