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306161408 = 287224407
BaseRepresentation
bin10010001111111…
…010011100000000
3210100002121111102
4102033322130000
51111334131113
650214033532
710405220600
oct2217723400
9710077442
10306161408
11147902663
12866488a8
134b5773c7
142c938c00
151bd29758
hex123fa700

306161408 has 54 divisors (see below), whose sum is σ = 710931816. Its totient is φ = 131206656.

The previous prime is 306161407. The next prime is 306161411. The reversal of 306161408 is 804161603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306161407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 341 + ... + 24747.

It is an arithmetic number, because the mean of its divisors is an integer number (13165404).

Almost surely, 2306161408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355465908).

306161408 is an abundant number, since it is smaller than the sum of its proper divisors (404770408).

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

306161408 is an equidigital number, since it uses as much as digits as its factorization.

306161408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24437 (or 24416 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 306161408 is about 17497.4686169171. The cubic root of 306161408 is about 673.9848722930.

The spelling of 306161408 in words is "three hundred six million, one hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 24407 48814 97628 170849 195256 341698 390512 683396 781024 1195943 1366792 1562048 2391886 2733584 3124096 4783772 5467168 6248192 9567544 10934336 19135088 21868672 38270176 43737344 76540352 153080704 306161408