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245387340 = 2233511109379
BaseRepresentation
bin11101010000001…
…01000001001100
3122002201222011000
432220011001030
51000304343330
640203300300
76036520662
oct1650050114
9562658130
10245387340
11116573160
126a21a690
133bab9013
1424838c32
1516822560
hexea0504c

245387340 has 192 divisors, whose sum is σ = 842688000. Its totient is φ = 58786560.

The previous prime is 245387327. The next prime is 245387347. The reversal of 245387340 is 43783542.

It is a happy number.

245387340 is a `hidden beast` number, since 245 + 387 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 245387295 and 245387304.

It is not an unprimeable number, because it can be changed into a prime (245387347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 647271 + ... + 647649.

It is an arithmetic number, because the mean of its divisors is an integer number (4389000).

Almost surely, 2245387340 is an apocalyptic number.

245387340 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 245387340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421344000).

245387340 is an abundant number, since it is smaller than the sum of its proper divisors (597300660).

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

245387340 is a wasteful number, since it uses less digits than its factorization.

245387340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 245387340 is about 15664.8440783814. The cubic root of 245387340 is about 626.0620576979.

It can be divided in two parts, 24538 and 7340, that added together give a triangular number (31878 = T252).

The spelling of 245387340 in words is "two hundred forty-five million, three hundred eighty-seven thousand, three hundred forty".