Search a number
-
+
1342465540 = 2251331193863
BaseRepresentation
bin101000000000100…
…0110011000000100
310110120002022111221
41100001012120010
510222132344130
6341113410124
745160524463
oct12001063004
93416068457
101342465540
11629872259
12315709944
13185185b10
14ca4169da
157cccc87a
hex50046604

1342465540 has 96 divisors (see below), whose sum is σ = 3153862656. Its totient is φ = 476651520.

The previous prime is 1342465529. The next prime is 1342465543. The reversal of 1342465540 is 455642431.

It is a junction number, because it is equal to n+sod(n) for n = 1342465496 and 1342465505.

It is not an unprimeable number, because it can be changed into a prime (1342465543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555149 + ... + 1556011.

It is an arithmetic number, because the mean of its divisors is an integer number (32852736).

Almost surely, 21342465540 is an apocalyptic number.

1342465540 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 1342465540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576931328).

1342465540 is an abundant number, since it is smaller than the sum of its proper divisors (1811397116).

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

1342465540 is a wasteful number, since it uses less digits than its factorization.

1342465540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 1342465540 is about 36639.6716688346. The cubic root of 1342465540 is about 1103.1495246255.

The spelling of 1342465540 in words is "one billion, three hundred forty-two million, four hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 193 260 310 386 403 620 772 806 863 965 1612 1726 1930 2015 2509 3452 3860 4030 4315 5018 5983 8060 8630 10036 11219 11966 12545 17260 22438 23932 25090 26753 29915 44876 50180 53506 56095 59830 77779 107012 112190 119660 133765 155558 166559 224380 267530 311116 333118 347789 388895 535060 666236 695578 777790 832795 1391156 1555580 1665590 1738945 2165267 3331180 3477890 4330534 5163329 6955780 8661068 10326658 10826335 20653316 21652670 25816645 43305340 51633290 67123277 103266580 134246554 268493108 335616385 671232770 1342465540