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1744064644 = 22721921572
BaseRepresentation
bin110011111110100…
…0101000010000100
311111112202122220211
41213331011002010
512032440032034
6445021205204
761135206400
oct14775050204
94445678824
101744064644
1181552a643
12408100804
1321a43721a
141278b6100
15a31a9d64
hex67f45084

1744064644 has 81 divisors (see below), whose sum is σ = 3771135333. Its totient is φ = 703606176.

The previous prime is 1744064633. The next prime is 1744064659. The reversal of 1744064644 is 4464604471.

The square root of 1744064644 is 41762.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 511212100 + 1232852544 = 22610^2 + 35112^2 .

It is a super-2 number, since 2×17440646442 = 6083522964901693472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1744064597 and 1744064606.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11108614 + ... + 11108770.

Almost surely, 21744064644 is an apocalyptic number.

1744064644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1744064644 is the 41762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1744064644

1744064644 is an abundant number, since it is smaller than the sum of its proper divisors (2027070689).

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

1744064644 is a wasteful number, since it uses less digits than its factorization.

1744064644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The cubic root of 1744064644 is about 1203.7072030037.

The spelling of 1744064644 in words is "one billion, seven hundred forty-four million, sixty-four thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 157 196 266 314 361 532 628 722 931 1099 1444 1862 2198 2527 2983 3724 4396 5054 5966 7693 10108 11932 15386 17689 20881 24649 30772 35378 41762 49298 56677 70756 83524 98596 113354 146167 172543 226708 292334 345086 396739 468331 584668 690172 793478 936662 1207801 1586956 1873324 2415602 2777173 3278317 4831204 5554346 6556634 8898289 11108692 13113268 17796578 22948219 35593156 45896438 62288023 91792876 124576046 249152092 436016161 872032322 1744064644