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234053100 = 223252318389
BaseRepresentation
bin11011111001101…
…01110111101100
3121022102010111100
431330311313230
5434404144400
635120323100
75541263361
oct1574656754
9538363440
10234053100
11110131616
1266473490
133964b078
1423128468
1515834100
hexdf35dec

234053100 has 108 divisors (see below), whose sum is σ = 757382080. Its totient is φ = 60393600.

The previous prime is 234053087. The next prime is 234053107. The reversal of 234053100 is 1350432.

It is a super-2 number, since 2×2340531002 = 109561707239220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (234053107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23706 + ... + 32094.

Almost surely, 2234053100 is an apocalyptic number.

234053100 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 234053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378691040).

234053100 is an abundant number, since it is smaller than the sum of its proper divisors (523328980).

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

234053100 is a wasteful number, since it uses less digits than its factorization.

234053100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8440 (or 8430 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 234053100 is about 15298.7940701220. The cubic root of 234053100 is about 616.2706230661.

The spelling of 234053100 in words is "two hundred thirty-four million, fifty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 3100 4650 5580 6975 8389 9300 13950 16778 25167 27900 33556 41945 50334 75501 83890 100668 125835 151002 167780 209725 251670 260059 302004 377505 419450 503340 520118 629175 755010 780177 838900 1040236 1258350 1300295 1510020 1560354 1887525 2340531 2516700 2600590 3120708 3775050 3900885 4681062 5201180 6501475 7550100 7801770 9362124 11702655 13002950 15603540 19504425 23405310 26005900 39008850 46810620 58513275 78017700 117026550 234053100