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309134848 = 2911131419
BaseRepresentation
bin10010011011010…
…000011000000000
3210112200200021211
4102123100120000
51113114303343
650401455504
710442413531
oct2233203000
9715620254
10309134848
11149553650
1287641594
134c078939
142d0b0688
151c21579d
hex126d0600

309134848 has 80 divisors (see below), whose sum is σ = 680581440. Its totient is φ = 139110400.

The previous prime is 309134831. The next prime is 309134857. The reversal of 309134848 is 848431903.

309134848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 309134848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737583 + ... + 738001.

It is an arithmetic number, because the mean of its divisors is an integer number (8507268).

Almost surely, 2309134848 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 309134848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340290720).

309134848 is an abundant number, since it is smaller than the sum of its proper divisors (371446592).

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

309134848 is a wasteful number, since it uses less digits than its factorization.

309134848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 309134848 is about 17582.2310302191. The cubic root of 309134848 is about 676.1597605668.

The spelling of 309134848 in words is "three hundred nine million, one hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 256 262 352 419 512 524 704 838 1048 1408 1441 1676 2096 2816 2882 3352 4192 4609 5632 5764 6704 8384 9218 11528 13408 16768 18436 23056 26816 33536 36872 46112 53632 54889 67072 73744 92224 107264 109778 147488 184448 214528 219556 294976 368896 439112 589952 603779 737792 878224 1179904 1207558 1756448 2359808 2415116 3512896 4830232 7025792 9660464 14051584 19320928 28103168 38641856 77283712 154567424 309134848