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303416 = 23172397
BaseRepresentation
bin1001010000100111000
3120102012122
41022010320
534202131
610300412
72402411
oct1120470
9512178
10303416
11197a63
12127708
13a8149
147c808
155ed7b
hex4a138

303416 has 32 divisors (see below), whose sum is σ = 635040. Its totient is φ = 135168.

The previous prime is 303409. The next prime is 303421. The reversal of 303416 is 614303.

It is a super-2 number, since 2×3034162 = 184122538112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 303394 and 303403.

It is a congruent number.

It is an unprimeable number.

303416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3080 + ... + 3176.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2303416 is an apocalyptic number.

It is an amenable number.

303416 is an abundant number, since it is smaller than the sum of its proper divisors (331624).

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

303416 is a wasteful number, since it uses less digits than its factorization.

303416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 303416 is about 550.8320978302. The cubic root of 303416 is about 67.1964236570.

Adding to 303416 its reverse (614303), we get a palindrome (917719).

The spelling of 303416 in words is "three hundred three thousand, four hundred sixteen".

Divisors: 1 2 4 8 17 23 34 46 68 92 97 136 184 194 388 391 776 782 1564 1649 2231 3128 3298 4462 6596 8924 13192 17848 37927 75854 151708 303416