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1349375280 = 243511895743
BaseRepresentation
bin101000001101101…
…1101010100110000
310111001002100220020
41100123131110300
510230420002110
6341521443440
745303333501
oct12033352460
93431070806
101349375280
11632761690
12317aa0580
13186734c16
14cb2d4ba8
157d6e4d70
hex506dd530

1349375280 has 160 divisors (see below), whose sum is σ = 4615418880. Its totient is φ = 323389440.

The previous prime is 1349375267. The next prime is 1349375281. The reversal of 1349375280 is 825739431.

It is not an unprimeable number, because it can be changed into a prime (1349375281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232089 + ... + 237831.

It is an arithmetic number, because the mean of its divisors is an integer number (28846368).

Almost surely, 21349375280 is an apocalyptic number.

1349375280 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 1349375280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307709440).

1349375280 is an abundant number, since it is smaller than the sum of its proper divisors (3266043600).

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

1349375280 is a wasteful number, since it uses less digits than its factorization.

1349375280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1349375280 is about 36733.8437956063. The cubic root of 1349375280 is about 1105.0389426841.

The spelling of 1349375280 in words is "one billion, three hundred forty-nine million, three hundred seventy-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 89 110 120 132 165 176 178 220 240 264 267 330 356 440 445 528 534 660 712 880 890 979 1068 1320 1335 1424 1780 1958 2136 2640 2670 2937 3560 3916 4272 4895 5340 5743 5874 7120 7832 9790 10680 11486 11748 14685 15664 17229 19580 21360 22972 23496 28715 29370 34458 39160 45944 46992 57430 58740 63173 68916 78320 86145 91888 114860 117480 126346 137832 172290 189519 229720 234960 252692 275664 315865 344580 379038 459440 505384 511127 631730 689160 758076 947595 1010768 1022254 1263460 1378320 1516152 1533381 1895190 2044508 2526920 2555635 3032304 3066762 3790380 4089016 5053840 5111270 5622397 6133524 7580760 7666905 8178032 10222540 11244794 12267048 15161520 15333810 16867191 20445080 22489588 24534096 28111985 30667620 33734382 40890160 44979176 56223970 61335240 67468764 84335955 89958352 112447940 122670480 134937528 168671910 224895880 269875056 337343820 449791760 674687640 1349375280