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234130000 = 2454131801
BaseRepresentation
bin11011111010010…
…00101001010000
3121022120000222111
431331020221100
5434414130000
635122115104
75542033516
oct1575105120
9538500874
10234130000
11110184375
12664aba94
1339677080
14231484b6
151584bcba
hexdf48a50

234130000 has 100 divisors (see below), whose sum is σ = 610795108. Its totient is φ = 86400000.

The previous prime is 234129997. The next prime is 234130051. The reversal of 234130000 is 31432.

It can be written as a sum of positive squares in 10 ways, for example, as 231891984 + 2238016 = 15228^2 + 1496^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129100 + ... + 130900.

Almost surely, 2234130000 is an apocalyptic number.

234130000 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 234130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305397554).

234130000 is an abundant number, since it is smaller than the sum of its proper divisors (376665108).

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

234130000 is a wasteful number, since it uses less digits than its factorization.

234130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 234130000 is about 15301.3071337059. The cubic root of 234130000 is about 616.3381092072.

Adding to 234130000 its reverse (31432), we get a palindrome (234161432).

The spelling of 234130000 in words is "two hundred thirty-four million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 1801 2000 2500 2600 3250 3602 5000 5200 6500 7204 8125 9005 10000 13000 14408 16250 18010 23413 26000 28816 32500 36020 45025 46826 65000 72040 90050 93652 117065 130000 144080 180100 187304 225125 234130 360200 374608 450250 468260 585325 720400 900500 936520 1125625 1170650 1801000 1873040 2251250 2341300 2926625 3602000 4502500 4682600 5853250 9005000 9365200 11706500 14633125 18010000 23413000 29266250 46826000 58532500 117065000 234130000