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740162320 = 245171094993
BaseRepresentation
bin101100000111011…
…111101100010000
31220120202010211021
4230013133230100
53003440143240
6201240125224
724225163432
oct5407375420
91816663737
10740162320
1134a8909a7
12187a66814
13ba461a91
1470430652
1544ea754a
hex2c1dfb10

740162320 has 80 divisors (see below), whose sum is σ = 1839190320. Its totient is φ = 276037632.

The previous prime is 740162279. The next prime is 740162321. The reversal of 740162320 is 23261047.

740162320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7485696 + 732676624 = 2736^2 + 27068^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (740162321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145744 + ... + 150736.

It is an arithmetic number, because the mean of its divisors is an integer number (22989879).

Almost surely, 2740162320 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 740162320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919595160).

740162320 is an abundant number, since it is smaller than the sum of its proper divisors (1099028000).

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

740162320 is a wasteful number, since it uses less digits than its factorization.

740162320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 740162320 is about 27205.9243548165. The cubic root of 740162320 is about 904.5702995533.

The spelling of 740162320 in words is "seven hundred forty million, one hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 109 136 170 218 272 340 436 545 680 872 1090 1360 1744 1853 2180 3706 4360 4993 7412 8720 9265 9986 14824 18530 19972 24965 29648 37060 39944 49930 74120 79888 84881 99860 148240 169762 199720 339524 399440 424405 544237 679048 848810 1088474 1358096 1697620 2176948 2721185 3395240 4353896 5442370 6790480 8707792 9252029 10884740 18504058 21769480 37008116 43538960 46260145 74016232 92520290 148032464 185040580 370081160 740162320