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1436441340 = 2235291814561
BaseRepresentation
bin101010110011110…
…0101101011111100
310201002220210002010
41111213211223330
510420212110330
6354311531220
750411356425
oct12547455374
93632823063
101436441340
11677919704
12341089b10
1319b79a5b9
14d8aba64c
15861923b0
hex559e5afc

1436441340 has 96 divisors (see below), whose sum is σ = 4184631360. Its totient is φ = 367718400.

The previous prime is 1436441329. The next prime is 1436441353. The reversal of 1436441340 is 431446341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1436441298 and 1436441307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312660 + ... + 317220.

It is an arithmetic number, because the mean of its divisors is an integer number (43589910).

Almost surely, 21436441340 is an apocalyptic number.

1436441340 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 1436441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092315680).

1436441340 is an abundant number, since it is smaller than the sum of its proper divisors (2748190020).

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

1436441340 is a wasteful number, since it uses less digits than its factorization.

1436441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1436441340 is about 37900.4134542092. The cubic root of 1436441340 is about 1128.3122375152.

Adding to 1436441340 its reverse (431446341), we get a palindrome (1867887681).

The spelling of 1436441340 in words is "one billion, four hundred thirty-six million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 181 290 348 362 435 543 580 724 870 905 1086 1740 1810 2172 2715 3620 4561 5249 5430 9122 10498 10860 13683 15747 18244 20996 22805 26245 27366 31494 45610 52490 54732 62988 68415 78735 91220 104980 132269 136830 157470 264538 273660 314940 396807 529076 661345 793614 825541 1322690 1587228 1651082 1984035 2476623 2645380 3302164 3968070 4127705 4953246 7936140 8255410 9906492 12383115 16510820 23940689 24766230 47881378 49532460 71822067 95762756 119703445 143644134 239406890 287288268 359110335 478813780 718220670 1436441340