Search a number
-
+
741347640 = 233451123161
BaseRepresentation
bin101100001100000…
…001000100111000
31220122222100210000
4230030001010320
53004241111030
6201321353000
724241231245
oct5414010470
91818870700
10741347640
11350520500
12188338760
13ba788457
147065c5cc
154513d860
hex2c301138

741347640 has 480 divisors, whose sum is σ = 2873566080. Its totient is φ = 171072000.

The previous prime is 741347639. The next prime is 741347693. The reversal of 741347640 is 46743147.

It is a happy number.

741347640 is a `hidden beast` number, since 7 + 4 + 1 + 3 + 4 + 7 + 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 = 741347595 and 741347604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12153210 + ... + 12153270.

It is an arithmetic number, because the mean of its divisors is an integer number (5986596).

Almost surely, 2741347640 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 741347640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436783040).

741347640 is an abundant number, since it is smaller than the sum of its proper divisors (2132218440).

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

741347640 is a wasteful number, since it uses less digits than its factorization.

741347640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 741347640 is about 27227.6998661290. The cubic root of 741347640 is about 905.0529114491.

The spelling of 741347640 in words is "seven hundred forty-one million, three hundred forty-seven thousand, six hundred forty".