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330005416 = 231331102359
BaseRepresentation
bin10011101010110…
…111101110101000
3211222222000022211
4103222313232220
51133440133131
652425054504
711114666626
oct2352675650
9758860284
10330005416
1115a308a54
1292627434
13534a53a0
1431b84516
151de895b1
hex13ab7ba8

330005416 has 32 divisors (see below), whose sum is σ = 687859200. Its totient is φ = 147395520.

The previous prime is 330005393. The next prime is 330005419. The reversal of 330005416 is 614500033.

It is not an unprimeable number, because it can be changed into a prime (330005419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47956 + ... + 54403.

It is an arithmetic number, because the mean of its divisors is an integer number (21495600).

Almost surely, 2330005416 is an apocalyptic number.

It is an amenable number.

330005416 is an abundant number, since it is smaller than the sum of its proper divisors (357853784).

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

330005416 is a wasteful number, since it uses less digits than its factorization.

330005416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102409 (or 102405 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 330005416 is about 18166.0511944671. The cubic root of 330005416 is about 691.0461034706.

Adding to 330005416 its reverse (614500033), we get a palindrome (944505449).

It can be divided in two parts, 33000 and 5416, that added together give a 4-th power (38416 = 144).

The spelling of 330005416 in words is "three hundred thirty million, five thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 3224 102359 204718 409436 818872 1330667 2661334 3173129 5322668 6346258 10645336 12692516 25385032 41250677 82501354 165002708 330005416