Search a number
-
+
303442112 = 26171312129
BaseRepresentation
bin10010000101100…
…010100011000000
3210010222110022202
4102011202203000
51110140121422
650035452332
710343133611
oct2205424300
9703873282
10303442112
11146315606
12857570a8
134ab3475c
142c42bc08
151b98db92
hex121628c0

303442112 has 56 divisors (see below), whose sum is σ = 642731760. Its totient is φ = 141639680.

The previous prime is 303442039. The next prime is 303442159. The reversal of 303442112 is 211244303.

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, 141464 + ... + 143592.

Almost surely, 2303442112 is an apocalyptic number.

303442112 is a gapful number since it is divisible by the number (32) 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 303442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321365880).

303442112 is an abundant number, since it is smaller than the sum of its proper divisors (339289648).

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

303442112 is a wasteful number, since it uses less digits than its factorization.

303442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 303442112 is about 17419.5898918430. The cubic root of 303442112 is about 671.9835124451.

Adding to 303442112 its reverse (211244303), we get a palindrome (514686415).

The spelling of 303442112 in words is "three hundred three million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 131 136 262 272 524 544 1048 1088 2096 2129 2227 4192 4258 4454 8384 8516 8908 17032 17816 34064 35632 36193 68128 71264 72386 136256 142528 144772 278899 289544 557798 579088 1115596 1158176 2231192 2316352 4462384 4741283 8924768 9482566 17849536 18965132 37930264 75860528 151721056 303442112