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34680321 = 321321512
BaseRepresentation
bin1000010001001…
…0111000000001
32102020221110100
42010102320001
532334232241
63235153013
7600530544
oct204227001
972227410
1034680321
1118637925
12b745769
137253400
14486a85b
1530a09b6
hex2112e01

34680321 has 27 divisors (see below), whose sum is σ = 54605187. Its totient is φ = 21200400.

The previous prime is 34680319. The next prime is 34680367. The reversal of 34680321 is 12308643.

It is a happy number.

The square root of 34680321 is 5889.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5130225 + 29550096 = 2265^2 + 5436^2 .

It is not a de Polignac number, because 34680321 - 21 = 34680319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34680721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229596 + ... + 229746.

Almost surely, 234680321 is an apocalyptic number.

34680321 is the 5889-th square number.

34680321 is the 2945-th centered octagonal number.

It is an amenable number.

34680321 is a deficient number, since it is larger than the sum of its proper divisors (19924866).

34680321 is a wasteful number, since it uses less digits than its factorization.

34680321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 34680321 is about 326.1076870832.

Adding to 34680321 its reverse (12308643), we get a palindrome (46988964).

The spelling of 34680321 in words is "thirty-four million, six hundred eighty thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 151 169 453 507 1359 1521 1963 5889 17667 22801 25519 68403 76557 205209 229671 296413 889239 2667717 3853369 11560107 34680321