Search a number
-
+
1340193528 = 233268327253
BaseRepresentation
bin100111111100001…
…1011101011111000
310110101210212220100
41033320123223320
510221042143103
6340552555400
745132312522
oct11770335370
93411725810
101340193528
11628560263
123149b2b60
1318486b92b
14c9dc4a12
157c9ce5a3
hex4fe1baf8

1340193528 has 48 divisors (see below), whose sum is σ = 3635138520. Its totient is φ = 446060736.

The previous prime is 1340193523. The next prime is 1340193551. The reversal of 1340193528 is 8253910431.

1340193528 is a `hidden beast` number, since 1 + 3 + 40 + 1 + 93 + 528 = 666.

It is a super-2 number, since 2×13401935282 = 3592237384986173568, which contains 22 as substring.

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 = 1340193492 and 1340193501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340193523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35550 + ... + 62802.

Almost surely, 21340193528 is an apocalyptic number.

1340193528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1340193528 is an abundant number, since it is smaller than the sum of its proper divisors (2294944992).

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

1340193528 is a wasteful number, since it uses less digits than its factorization.

1340193528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27948 (or 27941 counting only the distinct ones).

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

The square root of 1340193528 is about 36608.6537310511. The cubic root of 1340193528 is about 1102.5268434083.

It can be divided in two parts, 13401 and 93528, that added together give a square (106929 = 3272).

The spelling of 1340193528 in words is "one billion, three hundred forty million, one hundred ninety-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 683 1366 2049 2732 4098 5464 6147 8196 12294 16392 24588 27253 49176 54506 81759 109012 163518 218024 245277 327036 490554 654072 981108 1962216 18613799 37227598 55841397 74455196 111682794 148910392 167524191 223365588 335048382 446731176 670096764 1340193528