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245774304 = 25331729577
BaseRepresentation
bin11101010011000…
…11011111100000
3122010110121222000
432221203133200
51000404234204
640215444000
76043022106
oct1651433740
9563417860
10245774304
11116807966
126a386600
133bbc31a9
14248d9c76
151689c039
hexea637e0

245774304 has 192 divisors, whose sum is σ = 786542400. Its totient is φ = 74317824.

The previous prime is 245774279. The next prime is 245774317. The reversal of 245774304 is 403477542.

245774304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2457743043 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425664 + ... + 426240.

It is an arithmetic number, because the mean of its divisors is an integer number (4096575).

Almost surely, 2245774304 is an apocalyptic number.

245774304 is a gapful number since it is divisible by the number (24) 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 245774304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393271200).

245774304 is an abundant number, since it is smaller than the sum of its proper divisors (540768096).

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

245774304 is a wasteful number, since it uses less digits than its factorization.

245774304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 245774304 is about 15677.1905646388. The cubic root of 245774304 is about 626.3909747529.

The spelling of 245774304 in words is "two hundred forty-five million, seven hundred seventy-four thousand, three hundred four".