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34052256 = 25327219127
BaseRepresentation
bin1000000111100…
…1100010100000
32101002000220200
42001321202200
532204133011
63213505200
7562303500
oct201714240
971060820
1034052256
1118248a67
12b4a2200
137093584
144745a00
152ec9856
hex20798a0

34052256 has 216 divisors, whose sum is σ = 119508480. Its totient is φ = 9144576.

The previous prime is 34052231. The next prime is 34052267. The reversal of 34052256 is 65225043.

34052256 is a `hidden beast` number, since 3 + 405 + 2 + 256 = 666.

It is a super-2 number, since 2×340522562 = 2319112277379072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268065 + ... + 268191.

It is an arithmetic number, because the mean of its divisors is an integer number (553280).

Almost surely, 234052256 is an apocalyptic number.

34052256 is a gapful number since it is divisible by the number (36) 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 34052256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

34052256 is an abundant number, since it is smaller than the sum of its proper divisors (85456224).

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

34052256 is a wasteful number, since it uses less digits than its factorization.

34052256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 34052256 is about 5835.4310894740. The cubic root of 34052256 is about 324.1270649308.

Adding to 34052256 its reverse (65225043), we get a palindrome (99277299).

The spelling of 34052256 in words is "thirty-four million, fifty-two thousand, two hundred fifty-six".