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303228024 = 23311372839
BaseRepresentation
bin10010000100101…
…110010001111000
3210010120120122120
4102010232101320
51110111244044
650031121240
710341252501
oct2204562170
9703516576
10303228024
11146189780
1285673220
134aa8b188
142c3b3ba8
151b94a519
hex1212e478

303228024 has 96 divisors (see below), whose sum is σ = 850953600. Its totient is φ = 89297280.

The previous prime is 303228001. The next prime is 303228043. The reversal of 303228024 is 420822303.

303228024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 303227985 and 303228003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360997 + ... + 361835.

It is an arithmetic number, because the mean of its divisors is an integer number (8864100).

Almost surely, 2303228024 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 303228024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425476800).

303228024 is an abundant number, since it is smaller than the sum of its proper divisors (547725576).

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

303228024 is a wasteful number, since it uses less digits than its factorization.

303228024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 303228024 is about 17413.4437719826. The cubic root of 303228024 is about 671.8254400624.

The spelling of 303228024 in words is "three hundred three million, two hundred twenty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 839 888 1221 1369 1628 1678 2442 2517 2738 3256 3356 4107 4884 5034 5476 6712 8214 9229 9768 10068 10952 15059 16428 18458 20136 27687 30118 31043 32856 36916 45177 55374 60236 62086 73832 90354 93129 110748 120472 124172 180708 186258 221496 248344 341473 361416 372516 682946 745032 1024419 1148591 1365892 2048838 2297182 2731784 3445773 4097676 4594364 6891546 8195352 9188728 12634501 13783092 25269002 27566184 37903503 50538004 75807006 101076008 151614012 303228024