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245434240 = 2751931987
BaseRepresentation
bin11101010000100…
…00011110000000
3122002211100111001
432220100132000
51000312343430
640204301344
76040104502
oct1650203600
9562740431
10245434240
111165a5417
126a241854
133bb0447c
142484bd72
15168313ca
hexea10780

245434240 has 64 divisors (see below), whose sum is σ = 590078160. Its totient is φ = 97615872.

The previous prime is 245434213. The next prime is 245434247. The reversal of 245434240 is 42434542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 245434199 and 245434208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245434247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122527 + ... + 124513.

Almost surely, 2245434240 is an apocalyptic number.

245434240 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 245434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295039080).

245434240 is an abundant number, since it is smaller than the sum of its proper divisors (344643920).

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

245434240 is a wasteful number, since it uses less digits than its factorization.

245434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 245434240 is about 15666.3409895227. The cubic root of 245434240 is about 626.1019408205.

Adding to 245434240 its reverse (42434542), we get a palindrome (287868782).

The spelling of 245434240 in words is "two hundred forty-five million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 193 320 386 640 772 965 1544 1930 1987 3088 3860 3974 6176 7720 7948 9935 12352 15440 15896 19870 24704 30880 31792 39740 61760 63584 79480 123520 127168 158960 254336 317920 383491 635840 766982 1271680 1533964 1917455 3067928 3834910 6135856 7669820 12271712 15339640 24543424 30679280 49086848 61358560 122717120 245434240