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1341414320 = 245103173941
BaseRepresentation
bin100111111110100…
…0101101110110000
310110111002220111212
41033331011232300
510221400224240
6341035055252
745145555631
oct11775055660
93414086455
101341414320
11629214484
123152a1528
13184ba84ac
14ca221888
157cb71165
hex4ff45bb0

1341414320 has 80 divisors (see below), whose sum is σ = 3170636352. Its totient is φ = 527723520.

The previous prime is 1341414293. The next prime is 1341414331. The reversal of 1341414320 is 234141431.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425050 + ... + 1425990.

Almost surely, 21341414320 is an apocalyptic number.

1341414320 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 1341414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585318176).

1341414320 is an abundant number, since it is smaller than the sum of its proper divisors (1829222032).

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

1341414320 is a wasteful number, since it uses less digits than its factorization.

1341414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1341414320 is about 36625.3234798001. The cubic root of 1341414320 is about 1102.8615083773.

Adding to 1341414320 its reverse (234141431), we get a palindrome (1575555751).

The spelling of 1341414320 in words is "one billion, three hundred forty-one million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 173 206 346 412 515 692 824 865 941 1030 1384 1648 1730 1882 2060 2768 3460 3764 4120 4705 6920 7528 8240 9410 13840 15056 17819 18820 35638 37640 71276 75280 89095 96923 142552 162793 178190 193846 285104 325586 356380 387692 484615 651172 712760 775384 813965 969230 1302344 1425520 1550768 1627930 1938460 2604688 3255860 3876920 6511720 7753840 13023440 16767679 33535358 67070716 83838395 134141432 167676790 268282864 335353580 670707160 1341414320