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1344990960 = 243351274903
BaseRepresentation
bin101000000101010…
…1110111011110000
310110201211121202000
41100022232323300
510223304202320
6341243454000
745221143305
oct12012567360
93421747660
101344990960
11630237685
12316527300
1318585b451
14ca8b30ac
157d12ac90
hex502aeef0

1344990960 has 160 divisors (see below), whose sum is σ = 4670177280. Its totient is φ = 355767552.

The previous prime is 1344990953. The next prime is 1344990973. The reversal of 1344990960 is 690994431.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 271869 + ... + 276771.

It is an arithmetic number, because the mean of its divisors is an integer number (29188608).

Almost surely, 21344990960 is an apocalyptic number.

1344990960 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 1344990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335088640).

1344990960 is an abundant number, since it is smaller than the sum of its proper divisors (3325186320).

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

1344990960 is a wasteful number, since it uses less digits than its factorization.

1344990960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1344990960 is about 36674.1183943118. The cubic root of 1344990960 is about 1103.8408324409.

The spelling of 1344990960 in words is "one billion, three hundred forty-four million, nine hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 127 135 144 180 216 240 254 270 360 381 432 508 540 635 720 762 1016 1080 1143 1270 1524 1905 2032 2160 2286 2540 3048 3429 3810 4572 4903 5080 5715 6096 6858 7620 9144 9806 10160 11430 13716 14709 15240 17145 18288 19612 22860 24515 27432 29418 30480 34290 39224 44127 45720 49030 54864 58836 68580 73545 78448 88254 91440 98060 117672 132381 137160 147090 176508 196120 220635 235344 264762 274320 294180 353016 392240 441270 529524 588360 622681 661905 706032 882540 1059048 1176720 1245362 1323810 1765080 1868043 2118096 2490724 2647620 3113405 3530160 3736086 4981448 5295240 5604129 6226810 7472172 9340215 9962896 10590480 11208258 12453620 14944344 16812387 18680430 22416516 24907240 28020645 29888688 33624774 37360860 44833032 49814480 56041290 67249548 74721720 84061935 89666064 112082580 134499096 149443440 168123870 224165160 268998192 336247740 448330320 672495480 1344990960