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302423040 = 2103256563
BaseRepresentation
bin10010000001101…
…001110000000000
3210002001200102100
4102001221300000
51104410014130
650001550400
710331360553
oct2201516000
9702050370
10302423040
111457899a7
1285345400
134a86895a
142c24469a
151b83bc60
hex12069c00

302423040 has 132 divisors (see below), whose sum is σ = 1048047624. Its totient is φ = 80633856.

The previous prime is 302423039. The next prime is 302423041. The reversal of 302423040 is 40324203.

It is an interprime number because it is at equal distance from previous prime (302423039) and next prime (302423041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302423041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42799 + ... + 49361.

Almost surely, 2302423040 is an apocalyptic number.

302423040 is a gapful number since it is divisible by the number (30) 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 302423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524023812).

302423040 is an abundant number, since it is smaller than the sum of its proper divisors (745624584).

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

302423040 is a wasteful number, since it uses less digits than its factorization.

302423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 302423040 is about 17390.3145457464. The cubic root of 302423040 is about 671.2304115046.

Adding to 302423040 its reverse (40324203), we get a palindrome (342747243).

The spelling of 302423040 in words is "three hundred two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 6563 7680 9216 11520 13126 15360 19689 23040 26252 32815 39378 46080 52504 59067 65630 78756 98445 105008 118134 131260 157512 196890 210016 236268 262520 295335 315024 393780 420032 472536 525040 590670 630048 787560 840064 945072 1050080 1181340 1260096 1575120 1680128 1890144 2100160 2362680 2520192 3150240 3360256 3780288 4200320 4725360 5040384 6300480 6720512 7560576 8400640 9450720 10080768 12600960 15121152 16801280 18901440 20161536 25201920 30242304 33602560 37802880 50403840 60484608 75605760 100807680 151211520 302423040