Search a number
-
+
1348383240 = 233351248503
BaseRepresentation
bin101000001011110…
…1011001000001000
310110222012222002000
41100113223020020
510230141230430
6341444311000
745262032321
oct12027531010
93428188060
101348383240
11632144316
123176a2460
13186478509
14cb117448
157d59ae60
hex505eb208

1348383240 has 64 divisors (see below), whose sum is σ = 4494614400. Its totient is φ = 359568576.

The previous prime is 1348383233. The next prime is 1348383251. The reversal of 1348383240 is 423838431.

It is a happy number.

1348383240 is a `hidden beast` number, since 1 + 34 + 8 + 383 + 240 = 666.

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 = 1348383195 and 1348383204.

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, 623172 + ... + 625331.

It is an arithmetic number, because the mean of its divisors is an integer number (70228350).

Almost surely, 21348383240 is an apocalyptic number.

1348383240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348383240 is an abundant number, since it is smaller than the sum of its proper divisors (3146231160).

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

1348383240 is a wasteful number, since it uses less digits than its factorization.

1348383240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248523 (or 1248513 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1348383240 is about 36720.3382337364. The cubic root of 1348383240 is about 1104.7680737357.

The spelling of 1348383240 in words is "one billion, three hundred forty-eight million, three hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1248503 2497006 3745509 4994012 6242515 7491018 9988024 11236527 12485030 14982036 18727545 22473054 24970060 29964072 33709581 37455090 44946108 49940120 56182635 67419162 74910180 89892216 112365270 134838324 149820360 168547905 224730540 269676648 337095810 449461080 674191620 1348383240