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1344746480 = 2457111991097
BaseRepresentation
bin101000000100111…
…0011001111110000
310110201101012101012
41100021303033300
510223223341410
6341234330052
745216104450
oct12011631760
93421335335
101344746480
1163008aa30
12316429928
131857a409c
14ca84bd60
157d0cd605
hex502733f0

1344746480 has 160 divisors (see below), whose sum is σ = 3921177600. Its totient is φ = 416655360.

The previous prime is 1344746477. The next prime is 1344746483. The reversal of 1344746480 is 846474431.

It is an interprime number because it is at equal distance from previous prime (1344746477) and next prime (1344746483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344746483) 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, 1225292 + ... + 1226388.

It is an arithmetic number, because the mean of its divisors is an integer number (24507360).

Almost surely, 21344746480 is an apocalyptic number.

1344746480 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 1344746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960588800).

1344746480 is an abundant number, since it is smaller than the sum of its proper divisors (2576431120).

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

1344746480 is a wasteful number, since it uses less digits than its factorization.

1344746480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The square root of 1344746480 is about 36670.7851020400. The cubic root of 1344746480 is about 1103.7739464003.

The spelling of 1344746480 in words is "one billion, three hundred forty-four million, seven hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 199 220 280 308 385 398 440 560 616 770 796 880 995 1097 1232 1393 1540 1592 1990 2189 2194 2786 3080 3184 3980 4378 4388 5485 5572 6160 6965 7679 7960 8756 8776 10945 10970 11144 12067 13930 15323 15358 15920 17512 17552 21890 21940 22288 24134 27860 30646 30716 35024 38395 43780 43880 48268 55720 60335 61292 61432 76615 76790 84469 87560 87760 96536 111440 120670 122584 122864 153230 153580 168938 175120 193072 218303 241340 245168 306460 307160 337876 422345 436606 482680 612920 614320 675752 844690 873212 965360 1091515 1225840 1351504 1528121 1689380 1746424 2183030 2401333 3056242 3378760 3492848 4366060 4802666 6112484 6757520 7640605 8732120 9605332 12006665 12224968 15281210 16809331 17464240 19210664 24013330 24449936 30562420 33618662 38421328 48026660 61124840 67237324 84046655 96053320 122249680 134474648 168093310 192106640 268949296 336186620 672373240 1344746480