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34427520 = 2732543139
BaseRepresentation
bin1000001101010…
…1001010000000
32101210002200100
42003111022000
532303140040
63225522400
7565425531
oct203251200
971702610
1034427520
11184849a6
12b643400
13719531a
144802688
153050b30
hex20d5280

34427520 has 192 divisors, whose sum is σ = 122522400. Its totient is φ = 8902656.

The previous prime is 34427513. The next prime is 34427539. The reversal of 34427520 is 2572443.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247611 + ... + 247749.

Almost surely, 234427520 is an apocalyptic number.

34427520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61261200).

34427520 is an abundant number, since it is smaller than the sum of its proper divisors (88094880).

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

34427520 is a wasteful number, since it uses less digits than its factorization.

34427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 34427520 is about 5867.4969109493. The cubic root of 34427520 is about 325.3133703299.

Adding to 34427520 its reverse (2572443), we get a palindrome (36999963).

The spelling of 34427520 in words is "thirty-four million, four hundred twenty-seven thousand, five hundred twenty".