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302067072 = 2732263997
BaseRepresentation
bin10010000000010…
…010110110000000
3210001101121010100
4102000102312000
51104312121242
645550202400
710325346006
oct2200226600
9701347110
10302067072
1114556650a
12851b3400
134a772918
142c190a76
151b7bb54c
hex12012d80

302067072 has 96 divisors (see below), whose sum is σ = 873409680. Its totient is φ = 100205568.

The previous prime is 302067061. The next prime is 302067083. The reversal of 302067072 is 270760203.

It is an interprime number because it is at equal distance from previous prime (302067061) and next prime (302067083).

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302478 + ... + 303474.

Almost surely, 2302067072 is an apocalyptic number.

302067072 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 302067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436704840).

302067072 is an abundant number, since it is smaller than the sum of its proper divisors (571342608).

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

302067072 is a wasteful number, since it uses less digits than its factorization.

302067072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 302067072 is about 17380.0768697955. The cubic root of 302067072 is about 670.9669501454.

The spelling of 302067072 in words is "three hundred two million, sixty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 263 288 384 526 576 789 997 1052 1152 1578 1994 2104 2367 2991 3156 3988 4208 4734 5982 6312 7976 8416 8973 9468 11964 12624 15952 16832 17946 18936 23928 25248 31904 33664 35892 37872 47856 50496 63808 71784 75744 95712 100992 127616 143568 151488 191424 262211 287136 302976 382848 524422 574272 786633 1048844 1148544 1573266 2097688 2359899 3146532 4195376 4719798 6293064 8390752 9439596 12586128 16781504 18879192 25172256 33563008 37758384 50344512 75516768 100689024 151033536 302067072