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1244006340 = 2235434710259
BaseRepresentation
bin100101000100110…
…0000011111000100
310012200211001212220
41022021200133010
510021431200330
6323235212340
742553610433
oct11211403704
93180731786
101244006340
11589233415
122a87470b0
1316a961735
14bb30711a
157432e710
hex4a2607c4

1244006340 has 96 divisors (see below), whose sum is σ = 3640412160. Its totient is φ = 317095296.

The previous prime is 1244006329. The next prime is 1244006381. The reversal of 1244006340 is 436004421.

It is a self number, because there is not a number n which added to its sum of digits gives 1244006340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116131 + ... + 126389.

It is an arithmetic number, because the mean of its divisors is an integer number (37920960).

Almost surely, 21244006340 is an apocalyptic number.

1244006340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244006340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820206080).

1244006340 is an abundant number, since it is smaller than the sum of its proper divisors (2396405820).

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

1244006340 is a wasteful number, since it uses less digits than its factorization.

1244006340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10361 (or 10359 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1244006340 is about 35270.4740540867. The cubic root of 1244006340 is about 1075.4928592737.

The spelling of 1244006340 in words is "one billion, two hundred forty-four million, six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 47 60 86 94 129 141 172 188 215 235 258 282 430 470 516 564 645 705 860 940 1290 1410 2021 2580 2820 4042 6063 8084 10105 10259 12126 20210 20518 24252 30315 30777 40420 41036 51295 60630 61554 102590 121260 123108 153885 205180 307770 441137 482173 615540 882274 964346 1323411 1446519 1764548 1928692 2205685 2410865 2646822 2893038 4411370 4821730 5293644 5786076 6617055 7232595 8822740 9643460 13234110 14465190 20733439 26468220 28930380 41466878 62200317 82933756 103667195 124400634 207334390 248801268 311001585 414668780 622003170 1244006340