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748340640 = 25335311557
BaseRepresentation
bin101100100110101…
…100010110100000
31221011010122101000
4230212230112200
53013033400030
6202131312000
724354535065
oct5446542640
91834118330
10748340640
11354467443
1218a74b600
13bc066418
147155cc6c
1545a70860
hex2c9ac5a0

748340640 has 192 divisors, whose sum is σ = 2632331520. Its totient is φ = 198558720.

The previous prime is 748340623. The next prime is 748340647. The reversal of 748340640 is 46043847.

748340640 is a `hidden beast` number, since 7 + 4 + 8 + 3 + 4 + 0 + 640 = 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 = 748340595 and 748340604.

It is not an unprimeable number, because it can be changed into a prime (748340647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343242 + ... + 1343798.

It is an arithmetic number, because the mean of its divisors is an integer number (13710060).

Almost surely, 2748340640 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 748340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316165760).

748340640 is an abundant number, since it is smaller than the sum of its proper divisors (1883990880).

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

748340640 is a wasteful number, since it uses less digits than its factorization.

748340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 748340640 is about 27355.8154694756. The cubic root of 748340640 is about 907.8897444835.

The spelling of 748340640 in words is "seven hundred forty-eight million, three hundred forty thousand, six hundred forty".