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34225240 = 2357313943
BaseRepresentation
bin1000001010001…
…1110001011000
32101101211012111
42002203301120
532230201430
63221322104
7563624020
oct202436130
971354174
1034225240
1118356a25
12b566334
13712422a
14478ca80
153010c2a
hex20a3c58

34225240 has 64 divisors (see below), whose sum is σ = 90869760. Its totient is φ = 11352960.

The previous prime is 34225231. The next prime is 34225241. The reversal of 34225240 is 4252243.

34225240 = T30 + T31 + ... + T589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34225241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6709 + ... + 10651.

It is an arithmetic number, because the mean of its divisors is an integer number (1419840).

Almost surely, 234225240 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 34225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45434880).

34225240 is an abundant number, since it is smaller than the sum of its proper divisors (56644520).

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

34225240 is a wasteful number, since it uses less digits than its factorization.

34225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 34225240 is about 5850.2341833469. The cubic root of 34225240 is about 324.6749886952.

Adding to 34225240 its reverse (4252243), we get a palindrome (38477483).

The spelling of 34225240 in words is "thirty-four million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 3943 4340 7886 8680 15772 19715 27601 31544 39430 55202 78860 110404 122233 138005 157720 220808 244466 276010 488932 552020 611165 855631 977864 1104040 1222330 1711262 2444660 3422524 4278155 4889320 6845048 8556310 17112620 34225240