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230304240 = 243251013167
BaseRepresentation
bin11011011101000…
…10100111110000
3121001100200000200
431232202213300
5432424213430
634504115200
75464360635
oct1556424760
9531320020
10230304240
11109000a91
1265165b00
13389378ca
142283018c
1515343460
hexdba29f0

230304240 has 120 divisors (see below), whose sum is σ = 781342848. Its totient is φ = 60787200.

The previous prime is 230304233. The next prime is 230304271. The reversal of 230304240 is 42403032.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 71137 + ... + 74303.

Almost surely, 2230304240 is an apocalyptic number.

230304240 is a gapful number since it is divisible by the number (20) 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 230304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390671424).

230304240 is an abundant number, since it is smaller than the sum of its proper divisors (551038608).

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

230304240 is a wasteful number, since it uses less digits than its factorization.

230304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3278 counting only the distinct ones).

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

The square root of 230304240 is about 15175.7780690151. The cubic root of 230304240 is about 612.9626015167.

Adding to 230304240 its reverse (42403032), we get a palindrome (272707272).

The spelling of 230304240 in words is "two hundred thirty million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 101 120 144 180 202 240 303 360 404 505 606 720 808 909 1010 1212 1515 1616 1818 2020 2424 3030 3167 3636 4040 4545 4848 6060 6334 7272 8080 9090 9501 12120 12668 14544 15835 18180 19002 24240 25336 28503 31670 36360 38004 47505 50672 57006 63340 72720 76008 95010 114012 126680 142515 152016 190020 228024 253360 285030 319867 380040 456048 570060 639734 760080 959601 1140120 1279468 1599335 1919202 2280240 2558936 2878803 3198670 3838404 4798005 5117872 5757606 6397340 7676808 9596010 11515212 12794680 14394015 15353616 19192020 23030424 25589360 28788030 38384040 46060848 57576060 76768080 115152120 230304240