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1343480544 = 253274671427
BaseRepresentation
bin101000000010011…
…1110001011100000
310110121222212211200
41100010332023200
510222412334134
6341151241200
745202252620
oct12004761340
93417885750
101343480544
1162a3a58aa
12315b19200
1318544cb03
14ca5dc880
157ce2d499
hex5013e2e0

1343480544 has 144 divisors (see below), whose sum is σ = 4378727808. Its totient is φ = 382761216.

The previous prime is 1343480513. The next prime is 1343480581. The reversal of 1343480544 is 4450843431.

1343480544 is a `hidden beast` number, since 1 + 3 + 4 + 34 + 80 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1343480499 and 1343480508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940759 + ... + 942185.

It is an arithmetic number, because the mean of its divisors is an integer number (30407832).

Almost surely, 21343480544 is an apocalyptic number.

1343480544 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 1343480544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189363904).

1343480544 is an abundant number, since it is smaller than the sum of its proper divisors (3035247264).

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

1343480544 is a wasteful number, since it uses less digits than its factorization.

1343480544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1343480544 is about 36653.5202129345. The cubic root of 1343480544 is about 1103.4274756722.

The spelling of 1343480544 in words is "one billion, three hundred forty-three million, four hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 467 504 672 934 1008 1401 1427 1868 2016 2802 2854 3269 3736 4203 4281 5604 5708 6538 7472 8406 8562 9807 9989 11208 11416 12843 13076 14944 16812 17124 19614 19978 22416 22832 25686 26152 29421 29967 33624 34248 39228 39956 44832 45664 51372 52304 58842 59934 67248 68496 78456 79912 89901 102744 104608 117684 119868 134496 136992 156912 159824 179802 205488 235368 239736 313824 319648 359604 410976 470736 479472 666409 719208 941472 958944 1332818 1438416 1999227 2665636 2876832 3998454 4664863 5331272 5997681 7996908 9329726 10662544 11995362 13994589 15993816 18659452 21325088 23990724 27989178 31987632 37318904 41983767 47981448 55978356 63975264 74637808 83967534 95962896 111956712 149275616 167935068 191925792 223913424 335870136 447826848 671740272 1343480544