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34930336 = 257222277
BaseRepresentation
bin1000010100111…
…1111010100000
32102201122102011
42011033322200
532420232321
63244402304
7602621500
oct205177240
972648364
1034930336
1118798751
12b846394
13731014c
1448d3a00
1530eeae1
hex214fea0

34930336 has 36 divisors (see below), whose sum is σ = 80000298. Its totient is φ = 14969472.

The previous prime is 34930333. The next prime is 34930349. The reversal of 34930336 is 63303943.

It can be written as a sum of positive squares in only one way, i.e., 24561936 + 10368400 = 4956^2 + 3220^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34930298 and 34930307.

It is not an unprimeable number, because it can be changed into a prime (34930333) 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, 9571 + ... + 12706.

Almost surely, 234930336 is an apocalyptic number.

It is an amenable number.

34930336 is an abundant number, since it is smaller than the sum of its proper divisors (45069962).

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

34930336 is a wasteful number, since it uses less digits than its factorization.

34930336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22301 (or 22286 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 31.

The square root of 34930336 is about 5910.1891678693. The cubic root of 34930336 is about 326.8894625249.

The spelling of 34930336 in words is "thirty-four million, nine hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 22277 44554 89108 155939 178216 311878 356432 623756 712864 1091573 1247512 2183146 2495024 4366292 4990048 8732584 17465168 34930336