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1349774720 = 2757319719
BaseRepresentation
bin101000001110011…
…1110110110000000
310111001211122211022
41100130332312000
510231020242340
6341534205012
745306616160
oct12034766600
93431748738
101349774720
11632a047a8
12318053768
13186844988
14cb39a5a0
157d7733b5
hex5073ed80

1349774720 has 128 divisors (see below), whose sum is σ = 3807129600. Its totient is φ = 447805440.

The previous prime is 1349774677. The next prime is 1349774729. The reversal of 1349774720 is 274779431.

1349774720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349774729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134021 + ... + 143739.

It is an arithmetic number, because the mean of its divisors is an integer number (29743200).

Almost surely, 21349774720 is an apocalyptic number.

1349774720 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 1349774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903564800).

1349774720 is an abundant number, since it is smaller than the sum of its proper divisors (2457354880).

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

1349774720 is an equidigital number, since it uses as much as digits as its factorization.

1349774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776 (or 9764 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The square root of 1349774720 is about 36739.2803413458. The cubic root of 1349774720 is about 1105.1479692376.

The spelling of 1349774720 in words is "one billion, three hundred forty-nine million, seven hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 8680 9719 9920 13888 17360 19438 19840 27776 34720 38876 48595 68033 69440 77752 97190 136066 138880 155504 194380 272132 301289 311008 340165 388760 544264 602578 622016 680330 777520 1088528 1205156 1244032 1360660 1506445 1555040 2109023 2177056 2410312 2721320 3012890 3110080 4218046 4354112 4820624 5442640 6025780 6220160 8436092 8708224 9641248 10545115 10885280 12051560 16872184 19282496 21090230 21770560 24103120 33744368 38564992 42180460 43541120 48206240 67488736 84360920 96412480 134977472 168721840 192824960 269954944 337443680 674887360 1349774720