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305216472 = 233111916053
BaseRepresentation
bin10010001100010…
…011101111011000
3210021022121021210
4102030103233120
51111113411342
650141503120
710364203641
oct2214235730
9707277253
10305216472
11147317720
1286271aa0
134b306282
142c7706c8
151bbde79c
hex12313bd8

305216472 has 64 divisors (see below), whose sum is σ = 836904960. Its totient is φ = 91990400.

The previous prime is 305216413. The next prime is 305216473. The reversal of 305216472 is 274612503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305216473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47398 + ... + 53450.

It is an arithmetic number, because the mean of its divisors is an integer number (13076640).

Almost surely, 2305216472 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 305216472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418452480).

305216472 is an abundant number, since it is smaller than the sum of its proper divisors (531688488).

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

305216472 is a wasteful number, since it uses less digits than its factorization.

305216472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 305216472 is about 17470.4456726209. The cubic root of 305216472 is about 673.2907624841.

Adding to 305216472 its reverse (274612503), we get a palindrome (579828975).

The spelling of 305216472 in words is "three hundred five million, two hundred sixteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 191 264 382 573 764 1146 1528 2101 2292 4202 4584 6053 6303 8404 12106 12606 16808 18159 24212 25212 36318 48424 50424 66583 72636 133166 145272 199749 266332 399498 532664 798996 1156123 1597992 2312246 3468369 4624492 6936738 9248984 12717353 13873476 25434706 27746952 38152059 50869412 76304118 101738824 152608236 305216472