Search a number
-
+
1343910528 = 273543207
BaseRepresentation
bin101000000011010…
…0111001010000000
310110122210201200000
41100012213022000
510223020114103
6341204400000
745206023332
oct12006471200
93418721600
101343910528
1162a669964
123160a6000
1318557073c
14ca6b1452
157ceb5aa3
hex501a7280

1343910528 has 96 divisors (see below), whose sum is σ = 4010566560. Its totient is φ = 447959808.

The previous prime is 1343910497. The next prime is 1343910541. The reversal of 1343910528 is 8250193431.

1343910528 is a `hidden beast` number, since 1 + 3 + 43 + 91 + 0 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1343910492 and 1343910501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9501 + ... + 52707.

It is an arithmetic number, because the mean of its divisors is an integer number (41776735).

Almost surely, 21343910528 is an apocalyptic number.

1343910528 is a gapful number since it is divisible by the number (18) 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 1343910528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005283280).

1343910528 is an abundant number, since it is smaller than the sum of its proper divisors (2666656032).

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

1343910528 is an frugal number, since it uses more digits than its factorization.

1343910528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43236 (or 43212 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1343910528 is about 36659.3852648950. The cubic root of 1343910528 is about 1103.5451812725.

The spelling of 1343910528 in words is "one billion, three hundred forty-three million, nine hundred ten thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 43207 86414 129621 172828 259242 345656 388863 518484 691312 777726 1036968 1166589 1382624 1555452 2073936 2333178 2765248 3110904 3499767 4147872 4666356 5530496 6221808 6999534 8295744 9332712 10499301 12443616 13999068 16591488 18665424 20998602 24887232 27998136 37330848 41997204 49774464 55996272 74661696 83994408 111992544 149323392 167988816 223985088 335977632 447970176 671955264 1343910528