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34427500 = 225447293
BaseRepresentation
bin1000001101010…
…1001001101100
32101210002122121
42003111021230
532303140000
63225522324
7565425502
oct203251154
971702577
1034427500
1118484988
12b6433a4
137195303
144802672
153050b1a
hex20d526c

34427500 has 60 divisors (see below), whose sum is σ = 77150304. Its totient is φ = 13432000.

The previous prime is 34427483. The next prime is 34427509. The reversal of 34427500 is 572443.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34427509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117354 + ... + 117646.

Almost surely, 234427500 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 34427500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38575152).

34427500 is an abundant number, since it is smaller than the sum of its proper divisors (42722804).

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

34427500 is a wasteful number, since it uses less digits than its factorization.

34427500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 34427500 is about 5867.4952066448. The cubic root of 34427500 is about 325.3133073351.

Adding to 34427500 its reverse (572443), we get a palindrome (34999943).

The spelling of 34427500 in words is "thirty-four million, four hundred twenty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 293 470 500 586 625 940 1172 1175 1250 1465 2350 2500 2930 4700 5860 5875 7325 11750 13771 14650 23500 27542 29300 29375 36625 55084 58750 68855 73250 117500 137710 146500 183125 275420 344275 366250 688550 732500 1377100 1721375 3442750 6885500 8606875 17213750 34427500