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34909056 = 273471337
BaseRepresentation
bin1000010100101…
…0101110000000
32102200120020000
42011022232000
532414042211
63244120000
7602502450
oct205125600
972616200
1034909056
1118783766
12b836000
137303560
1448c9d60
1530e8656
hex214ab80

34909056 has 320 divisors, whose sum is σ = 131318880. Its totient is φ = 8957952.

The previous prime is 34909051. The next prime is 34909097. The reversal of 34909056 is 65090943.

It is a super-2 number, since 2×349090562 = 2437284381622272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 34909056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34909051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943470 + ... + 943506.

Almost surely, 234909056 is an apocalyptic number.

34909056 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 34909056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65659440).

34909056 is an abundant number, since it is smaller than the sum of its proper divisors (96409824).

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

34909056 is a wasteful number, since it uses less digits than its factorization.

34909056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 34909056 is about 5908.3886128114. The cubic root of 34909056 is about 326.8230673162.

Adding to 34909056 its reverse (65090943), we get a palindrome (99999999).

The spelling of 34909056 in words is "thirty-four million, nine hundred nine thousand, fifty-six".