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34849296 = 2432242009
BaseRepresentation
bin1000010011110…
…0001000010000
32102120112020200
42010330020100
532410134141
63242535200
7602133306
oct204741020
972515220
1034849296
1118742879
12b807500
1372b22b1
1448b2276
1530d5ab6
hex213c210

34849296 has 30 divisors (see below), whose sum is σ = 97530030. Its totient is φ = 11616384.

The previous prime is 34849291. The next prime is 34849327. The reversal of 34849296 is 69294843.

It can be written as a sum of positive squares in only one way, i.e., 32490000 + 2359296 = 5700^2 + 1536^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34849291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120861 + ... + 121148.

It is an arithmetic number, because the mean of its divisors is an integer number (3251001).

Almost surely, 234849296 is an apocalyptic number.

34849296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34849296 is an abundant number, since it is smaller than the sum of its proper divisors (62680734).

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

34849296 is a wasteful number, since it uses less digits than its factorization.

34849296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242023 (or 242014 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 34849296 is about 5903.3292301887. The cubic root of 34849296 is about 326.6364671976.

The spelling of 34849296 in words is "thirty-four million, eight hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 242009 484018 726027 968036 1452054 1936072 2178081 2904108 3872144 4356162 5808216 8712324 11616432 17424648 34849296