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1341411344 = 247135317383
BaseRepresentation
bin100111111110100…
…0101000000010000
310110111002202102122
41033331011000100
510221400130334
6341035033412
745145544150
oct11775050020
93414082378
101341411344
11629212219
1231529b868
13184ba7030
14ca220760
157cb7032e
hex4ff45010

1341411344 has 80 divisors (see below), whose sum is σ = 3259291392. Its totient is φ = 520625664.

The previous prime is 1341411319. The next prime is 1341411371. The reversal of 1341411344 is 4431141431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68477 + ... + 85859.

Almost surely, 21341411344 is an apocalyptic number.

1341411344 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 1341411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629645696).

1341411344 is an abundant number, since it is smaller than the sum of its proper divisors (1917880048).

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

1341411344 is a wasteful number, since it uses less digits than its factorization.

1341411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17464 (or 17458 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 1341411344 is about 36625.2828521501. The cubic root of 1341411344 is about 1102.8606927908.

Adding to 1341411344 its reverse (4431141431), we get a palindrome (5772552775).

The spelling of 1341411344 in words is "one billion, three hundred forty-one million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 53 56 91 104 106 112 182 208 212 364 371 424 689 728 742 848 1378 1456 1484 2756 2968 4823 5512 5936 9646 11024 17383 19292 34766 38584 69532 77168 121681 139064 225979 243362 278128 451958 486724 903916 921299 973448 1581853 1807832 1842598 1946896 3163706 3615664 3685196 6327412 6449093 7370392 11976887 12654824 12898186 14740784 23953774 25309648 25796372 47907548 51592744 83838209 95815096 103185488 167676418 191630192 335352836 670705672 1341411344