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34325440 = 265671601
BaseRepresentation
bin1000001011110…
…0001111000000
32101120220122121
42002330033000
532241403230
63223414024
7564522112
oct202741700
971526577
1034325440
1118415236
12b5b4314
13715aa16
1447b73b2
15303077a
hex20bc3c0

34325440 has 56 divisors (see below), whose sum is σ = 83009232. Its totient is φ = 13516800.

The previous prime is 34325437. The next prime is 34325441. The reversal of 34325440 is 4452343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34325441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20640 + ... + 22240.

Almost surely, 234325440 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 34325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41504616).

34325440 is an abundant number, since it is smaller than the sum of its proper divisors (48683792).

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

34325440 is a wasteful number, since it uses less digits than its factorization.

34325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 34325440 is about 5858.7916842981. The cubic root of 34325440 is about 324.9915264063.

Adding to 34325440 its reverse (4452343), we get a palindrome (38777783).

The spelling of 34325440 in words is "thirty-four million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 1072 1340 1601 2144 2680 3202 4288 5360 6404 8005 10720 12808 16010 21440 25616 32020 51232 64040 102464 107267 128080 214534 256160 429068 512320 536335 858136 1072670 1716272 2145340 3432544 4290680 6865088 8581360 17162720 34325440