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306272540 = 22572595297
BaseRepresentation
bin10010010000010…
…101100100011100
3210100022020221102
4102100111210130
51111401210130
650220252232
710406162600
oct2220254434
9710266842
10306272540
11147979102
12866a1078
134b5b5b72
142c967500
151bd4c645
hex1241591c

306272540 has 72 divisors (see below), whose sum is σ = 761004720. Its totient is φ = 103208448.

The previous prime is 306272513. The next prime is 306272557. The reversal of 306272540 is 45272603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55172 + ... + 60468.

It is an arithmetic number, because the mean of its divisors is an integer number (10569510).

Almost surely, 2306272540 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 306272540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380502360).

306272540 is an abundant number, since it is smaller than the sum of its proper divisors (454732180).

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

306272540 is a wasteful number, since it uses less digits than its factorization.

306272540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 306272540 is about 17500.6439881508. The cubic root of 306272540 is about 674.0664112285.

The spelling of 306272540 in words is "three hundred six million, two hundred seventy-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 59 70 98 118 140 196 236 245 295 413 490 590 826 980 1180 1652 2065 2891 4130 5297 5782 8260 10594 11564 14455 21188 26485 28910 37079 52970 57820 74158 105940 148316 185395 259553 312523 370790 519106 625046 741580 1038212 1250092 1297765 1562615 2187661 2595530 3125230 4375322 5191060 6250460 8750644 10938305 15313627 21876610 30627254 43753220 61254508 76568135 153136270 306272540