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245044320 = 2535618369
BaseRepresentation
bin11101001101100…
…01010001100000
3122002002112121120
432212301101200
51000212404240
640152052240
76033561633
oct1646612140
9562075546
10245044320
11116359474
126a094080
133b9c8b51
1424789c1a
15167a5ad0
hexe9b1460

245044320 has 96 divisors (see below), whose sum is σ = 784637280. Its totient is φ = 64266240.

The previous prime is 245044309. The next prime is 245044321. The reversal of 245044320 is 23440542.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245044321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25096 + ... + 33464.

It is an arithmetic number, because the mean of its divisors is an integer number (8173305).

Almost surely, 2245044320 is an apocalyptic number.

245044320 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 245044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392318640).

245044320 is an abundant number, since it is smaller than the sum of its proper divisors (539592960).

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

245044320 is a wasteful number, since it uses less digits than its factorization.

245044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8448 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 245044320 is about 15653.8915289458. The cubic root of 245044320 is about 625.7702035352.

Adding to 245044320 its reverse (23440542), we get a palindrome (268484862).

The spelling of 245044320 in words is "two hundred forty-five million, forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4880 5856 7320 8369 9760 14640 16738 25107 29280 33476 41845 50214 66952 83690 100428 125535 133904 167380 200856 251070 267808 334760 401712 502140 510509 669520 803424 1004280 1021018 1339040 1531527 2008560 2042036 2552545 3063054 4017120 4084072 5105090 6126108 7657635 8168144 10210180 12252216 15315270 16336288 20420360 24504432 30630540 40840720 49008864 61261080 81681440 122522160 245044320