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774390240 = 253351313789
BaseRepresentation
bin101110001010000…
…100000111100000
31222222011002201000
4232022010013200
53041220441430
6204501512000
725122131331
oct5612040740
91888132630
10774390240
11368139938
12197412600
13c45872a0
1474bc0288
1547eb8e60
hex2e2841e0

774390240 has 192 divisors, whose sum is σ = 2919067200. Its totient is φ = 190605312.

The previous prime is 774390217. The next prime is 774390257. The reversal of 774390240 is 42093477.

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 = 774390195 and 774390204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49266 + ... + 63054.

It is an arithmetic number, because the mean of its divisors is an integer number (15203475).

Almost surely, 2774390240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 774390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459533600).

774390240 is an abundant number, since it is smaller than the sum of its proper divisors (2144676960).

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

774390240 is a wasteful number, since it uses less digits than its factorization.

774390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13826 (or 13812 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 774390240 is about 27827.8680462590. The cubic root of 774390240 is about 918.3043119438.

The spelling of 774390240 in words is "seven hundred seventy-four million, three hundred ninety thousand, two hundred forty".