Search a number
-
+
1348435640 = 235471794007
BaseRepresentation
bin101000001011111…
…0111111010111000
310110222022121221202
41100113313322320
510230144420030
6341445353332
745262341146
oct12027677270
93428277852
101348435640
1163217a722
12317708848
13186496316
14cb12c596
157d5ab745
hex505f7eb8

1348435640 has 64 divisors (see below), whose sum is σ = 3116620800. Its totient is φ = 524818048.

The previous prime is 1348435639. The next prime is 1348435661. The reversal of 1348435640 is 465348431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1348435594 and 1348435603.

It is a congruent number.

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, 334517 + ... + 338523.

It is an arithmetic number, because the mean of its divisors is an integer number (48697200).

Almost surely, 21348435640 is an apocalyptic number.

1348435640 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 1348435640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558310400).

1348435640 is an abundant number, since it is smaller than the sum of its proper divisors (1768185160).

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

1348435640 is a wasteful number, since it uses less digits than its factorization.

1348435640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 1348435640 is about 36721.0517278577. The cubic root of 1348435640 is about 1104.7823844785.

The spelling of 1348435640 in words is "one billion, three hundred forty-eight million, four hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 179 188 235 358 376 470 716 895 940 1432 1790 1880 3580 4007 7160 8014 8413 16028 16826 20035 32056 33652 40070 42065 67304 80140 84130 160280 168260 188329 336520 376658 717253 753316 941645 1434506 1506632 1883290 2869012 3586265 3766580 5738024 7172530 7533160 14345060 28690120 33710891 67421782 134843564 168554455 269687128 337108910 674217820 1348435640