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1302310044 = 2232722393089
BaseRepresentation
bin100110110011111…
…1010110010011100
310100202112012112100
41031213322302130
510131342410134
6333121005100
744162311200
oct11547726234
93322465470
101302310044
116091358a2
12304183790
13179a66579
14c4d62b00
15794e9999
hex4d9fac9c

1302310044 has 108 divisors (see below), whose sum is σ = 3846679200. Its totient is φ = 370411776.

The previous prime is 1302310013. The next prime is 1302310099. The reversal of 1302310044 is 4400132031.

It is a super-2 number, since 2×13023100442 = 3392022901406563872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1302309999 and 1302310026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 420052 + ... + 423140.

It is an arithmetic number, because the mean of its divisors is an integer number (35617400).

Almost surely, 21302310044 is an apocalyptic number.

1302310044 is a gapful number since it is divisible by the number (14) 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 1302310044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923339600).

1302310044 is an abundant number, since it is smaller than the sum of its proper divisors (2544369156).

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

1302310044 is a wasteful number, since it uses less digits than its factorization.

1302310044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1302310044 is about 36087.5330827697. The cubic root of 1302310044 is about 1092.0389532456.

Adding to 1302310044 its reverse (4400132031), we get a palindrome (5702442075).

The spelling of 1302310044 in words is "one billion, three hundred two million, three hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 239 252 294 441 478 588 717 882 956 1434 1673 1764 2151 2868 3089 3346 4302 5019 6178 6692 8604 9267 10038 11711 12356 15057 18534 20076 21623 23422 27801 30114 35133 37068 43246 46844 55602 60228 64869 70266 86492 105399 111204 129738 140532 151361 194607 210798 259476 302722 389214 421596 454083 605444 738271 778428 908166 1362249 1476542 1816332 2214813 2724498 2953084 4429626 5167897 5448996 6644439 8859252 10335794 13288878 15503691 20671588 26577756 31007382 36175279 46511073 62014764 72350558 93022146 108525837 144701116 186044292 217051674 325577511 434103348 651155022 1302310044