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234120000300 = 223525695772377
BaseRepresentation
bin1101101000001010100…
…0111011001100101100
3211101022020002021210020
43122002220323030230
512313434210002200
6255315300042140
722625466111354
oct3320250731454
9741266067706
10234120000300
119032070045a
123945a393350
131910112ca74
14b48d799b64
156153b28ea0
hex3682a3b32c

234120000300 has 144 divisors (see below), whose sum is σ = 680039703840. Its totient is φ = 62188093440.

The previous prime is 234120000287. The next prime is 234120000307. The reversal of 234120000300 is 3000021432.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 234120000300.

It is not an unprimeable number, because it can be changed into a prime (234120000307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98492712 + ... + 98495088.

Almost surely, 2234120000300 is an apocalyptic number.

234120000300 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 234120000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340019851920).

234120000300 is an abundant number, since it is smaller than the sum of its proper divisors (445919703540).

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

234120000300 is a wasteful number, since it uses less digits than its factorization.

234120000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 234120000300 its reverse (3000021432), we get a palindrome (237120021732).

The spelling of 234120000300 in words is "two hundred thirty-four billion, one hundred twenty million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 569 577 1138 1154 1707 1731 2276 2308 2377 2845 2885 3414 3462 4754 5690 5770 6828 6924 7131 8535 8655 9508 11380 11540 11885 14225 14262 14425 17070 17310 23770 28450 28524 28850 34140 34620 35655 42675 43275 47540 56900 57700 59425 71310 85350 86550 118850 142620 170700 173100 178275 237700 328313 356550 656626 713100 984939 1313252 1352513 1371529 1641565 1969878 2705026 2743058 3283130 3939756 4057539 4114587 4924695 5410052 5486116 6566260 6762565 6857645 8115078 8207825 8229174 9849390 13525130 13715290 16230156 16415650 16458348 19698780 20287695 20572935 24623475 27050260 27430580 32831300 33812825 34288225 40575390 41145870 49246950 67625650 68576450 81150780 82291740 98493900 101438475 102864675 135251300 137152900 202876950 205729350 405753900 411458700 780400001 1560800002 2341200003 3121600004 3902000005 4682400006 7804000010 9364800012 11706000015 15608000020 19510000025 23412000030 39020000050 46824000060 58530000075 78040000100 117060000150 234120000300