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34422440 = 23513531249
BaseRepresentation
bin1000001101001…
…1111010101000
32101202211201012
42003103322220
532303004230
63225443052
7565404653
oct203237250
971684635
1034422440
11184810a8
12b640488
137192c10
14480089a
15304e395
hex20d3ea8

34422440 has 64 divisors (see below), whose sum is σ = 85050000. Its totient is φ = 12460032.

The previous prime is 34422419. The next prime is 34422457. The reversal of 34422440 is 4422443.

It can be written as a sum of positive squares in 8 ways, for example, as 10588516 + 23833924 = 3254^2 + 4882^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26936 + ... + 28184.

Almost surely, 234422440 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 34422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42525000).

34422440 is an abundant number, since it is smaller than the sum of its proper divisors (50627560).

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

34422440 is a wasteful number, since it uses less digits than its factorization.

34422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 34422440 is about 5867.0640016962. The cubic root of 34422440 is about 325.2973688558.

Adding to 34422440 its reverse (4422443), we get a palindrome (38844883).

The spelling of 34422440 in words is "thirty-four million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1249 1378 2120 2498 2756 3445 4996 5512 6245 6890 9992 12490 13780 16237 24980 27560 32474 49960 64948 66197 81185 129896 132394 162370 264788 324740 330985 529576 649480 661970 860561 1323940 1721122 2647880 3442244 4302805 6884488 8605610 17211220 34422440