Search a number
-
+
744301472 = 25293753409
BaseRepresentation
bin101100010111010…
…010001110100000
31220212112102200012
4230113102032200
53011020121342
6201504544052
724305313065
oct5427221640
91825472605
10744301472
11352158792
12189322028
13bb280a95
1470bcac6c
1545523b82
hex2c5d23a0

744301472 has 96 divisors (see below), whose sum is σ = 1590094800. Its totient is φ = 342171648.

The previous prime is 744301469. The next prime is 744301487. The reversal of 744301472 is 274103447.

It can be written as a sum of positive squares in 8 ways, for example, as 718454416 + 25847056 = 26804^2 + 5084^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 1819604 + ... + 1820012.

Almost surely, 2744301472 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 744301472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795047400).

744301472 is an abundant number, since it is smaller than the sum of its proper divisors (845793328).

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

744301472 is a wasteful number, since it uses less digits than its factorization.

744301472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 744301472 is about 27281.8890841525. The cubic root of 744301472 is about 906.2533520796.

The spelling of 744301472 in words is "seven hundred forty-four million, three hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 37 53 58 74 106 116 148 212 232 296 409 424 464 592 818 848 928 1073 1184 1537 1636 1696 1961 2146 3074 3272 3922 4292 6148 6544 7844 8584 11861 12296 13088 15133 15688 17168 21677 23722 24592 30266 31376 34336 43354 47444 49184 56869 60532 62752 86708 94888 113738 121064 173416 189776 227476 242128 346832 379552 438857 454952 484256 628633 693664 802049 877714 909904 1257266 1604098 1755428 1819808 2514532 3208196 3510856 5029064 6416392 7021712 10058128 12832784 14043424 20116256 23259421 25665568 46518842 93037684 186075368 372150736 744301472