Search a number
-
+
740271744 = 27332367139
BaseRepresentation
bin101100000111111…
…010011010000000
31220120221200221000
4230013322122000
53004002143434
6201242332000
724226130442
oct5407723200
91816850830
10740271744
1134a956133
12187aba000
13ba49c824
147045c492
1544ec9b99
hex2c1fa680

740271744 has 256 divisors, whose sum is σ = 2330496000. Its totient is φ = 230833152.

The previous prime is 740271733. The next prime is 740271751. The reversal of 740271744 is 447172047.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 740271699 and 740271708.

It is an unprimeable number.

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, 5325627 + ... + 5325765.

It is an arithmetic number, because the mean of its divisors is an integer number (9103500).

Almost surely, 2740271744 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 740271744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165248000).

740271744 is an abundant number, since it is smaller than the sum of its proper divisors (1590224256).

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

740271744 is a wasteful number, since it uses less digits than its factorization.

740271744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 740271744 is about 27207.9353130663. The cubic root of 740271744 is about 904.6148739304.

It can be divided in two parts, 740 and 271744, that added together give a square (272484 = 5222).

The spelling of 740271744 in words is "seven hundred forty million, two hundred seventy-one thousand, seven hundred forty-four".