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245342300 = 225271753389
BaseRepresentation
bin11101001111110…
…10000001011100
3122002122200100212
432213322001130
51000301423200
640202311552
76036242450
oct1647720134
9562580325
10245342300
11116542335
126a1b85b8
133baa1678
1424826660
1516814035
hexe9fa05c

245342300 has 144 divisors (see below), whose sum is σ = 658082880. Its totient is φ = 77475840.

The previous prime is 245342299. The next prime is 245342309. The reversal of 245342300 is 3243542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245342309) 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, 630506 + ... + 630894.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2245342300 is an apocalyptic number.

245342300 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 245342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329041440).

245342300 is an abundant number, since it is smaller than the sum of its proper divisors (412740580).

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

245342300 is a wasteful number, since it uses less digits than its factorization.

245342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 245342300 is about 15663.4063983541. The cubic root of 245342300 is about 626.0237515103.

Adding to 245342300 its reverse (3243542), we get a palindrome (248585842).

The spelling of 245342300 in words is "two hundred forty-five million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 53 68 70 85 100 106 119 140 170 175 212 238 265 340 350 371 389 425 476 530 595 700 742 778 850 901 1060 1190 1325 1484 1556 1700 1802 1855 1945 2380 2650 2723 2975 3604 3710 3890 4505 5300 5446 5950 6307 6613 7420 7780 9010 9275 9725 10892 11900 12614 13226 13615 18020 18550 19450 20617 22525 25228 26452 27230 31535 33065 37100 38900 41234 45050 46291 54460 63070 66130 68075 82468 90100 92582 103085 126140 132260 136150 144319 157675 165325 185164 206170 231455 272300 288638 315350 330650 350489 412340 462910 515425 577276 630700 661300 700978 721595 925820 1030850 1157275 1401956 1443190 1752445 2061700 2314550 2453423 2886380 3504890 3607975 4629100 4906846 7009780 7215950 8762225 9813692 12267115 14431900 17524450 24534230 35048900 49068460 61335575 122671150 245342300