Search a number
-
+
307435428 = 2232192631709
BaseRepresentation
bin10010010100110…
…001011110100100
3210102111100010100
4102110301132210
51112200413203
650301224100
710422105126
oct2224613644
9712440110
10307435428
111485a2873
1286b62030
134b902271
142cb8b216
151becbea3
hex125317a4

307435428 has 72 divisors (see below), whose sum is σ = 821620800. Its totient is φ = 96659136.

The previous prime is 307435417. The next prime is 307435433. The reversal of 307435428 is 824534703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 307435392 and 307435401.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 179038 + ... + 180746.

It is an arithmetic number, because the mean of its divisors is an integer number (11411400).

Almost surely, 2307435428 is an apocalyptic number.

307435428 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307435428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410810400).

307435428 is an abundant number, since it is smaller than the sum of its proper divisors (514185372).

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

307435428 is a wasteful number, since it uses less digits than its factorization.

307435428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 307435428 is about 17533.8366594422. The cubic root of 307435428 is about 674.9184559930.

The spelling of 307435428 in words is "three hundred seven million, four hundred thirty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 263 342 526 684 789 1052 1578 1709 2367 3156 3418 4734 4997 5127 6836 9468 9994 10254 14991 15381 19988 20508 29982 30762 32471 44973 59964 61524 64942 89946 97413 129884 179892 194826 292239 389652 449467 584478 898934 1168956 1348401 1797868 2696802 4045203 5393604 8090406 8539873 16180812 17079746 25619619 34159492 51239238 76858857 102478476 153717714 307435428