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740749248 = 26325971307
BaseRepresentation
bin101100001001101…
…110111111000000
31220121211221221100
4230021232333000
53004112433443
6201300454400
724233156541
oct5411567700
91817757840
10740749248
11350151968
121880aa400
13ba608c85
14705444c8
15450713d3
hex2c26efc0

740749248 has 168 divisors, whose sum is σ = 2196754560. Its totient is φ = 238533120.

The previous prime is 740749241. The next prime is 740749249. The reversal of 740749248 is 842947047.

740749248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×7407492483 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740749241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2412711 + ... + 2413017.

It is an arithmetic number, because the mean of its divisors is an integer number (13075920).

Almost surely, 2740749248 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 740749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098377280).

740749248 is an abundant number, since it is smaller than the sum of its proper divisors (1456005312).

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

740749248 is a wasteful number, since it uses less digits than its factorization.

740749248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 740749248 is about 27216.7089854743. The cubic root of 740749248 is about 904.8093360232.

The spelling of 740749248 in words is "seven hundred forty million, seven hundred forty-nine thousand, two hundred forty-eight".