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330257929 = 17210692
BaseRepresentation
bin10011101011110…
…101011000001001
3212000102211201011
4103223311120021
51134021223204
652434323521
711120101051
oct2353653011
9760384634
10330257929
1115a470741
12927295a1
13535632c1
1431c0c561
151ded9304
hex13af5609

330257929 has 9 divisors (see below), whose sum is σ = 351156117. Its totient is φ = 310540224.

The previous prime is 330257903. The next prime is 330257951. The reversal of 330257929 is 929752033.

It is a happy number.

The square root of 330257929 is 18173.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22325625 + 307932304 = 4725^2 + 17548^2 .

It is not a de Polignac number, because 330257929 - 27 = 330257801 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330257891 and 330257900.

It is not an unprimeable number, because it can be changed into a prime (330257969) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 308407 + ... + 309475.

Almost surely, 2330257929 is an apocalyptic number.

330257929 is the 18173-rd square number.

330257929 is the 9087-th centered octagonal number.

It is an amenable number.

330257929 is a deficient number, since it is larger than the sum of its proper divisors (20898188).

330257929 is an frugal number, since it uses more digits than its factorization.

330257929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The cubic root of 330257929 is about 691.2223163727. Note that the first 3 decimals are identical.

The spelling of 330257929 in words is "three hundred thirty million, two hundred fifty-seven thousand, nine hundred twenty-nine".

Divisors: 1 17 289 1069 18173 308941 1142761 19426937 330257929