Search a number
-
+
1340829936 = 24341034591
BaseRepresentation
bin100111111101011…
…0111000011110000
310110110000012220000
41033322313003300
510221223024221
6341014350000
745140603115
oct11772670360
93413005800
101340829936
11628955416
1231505b300
13184a324c4
14ca10c90c
157caa7e26
hex4feb70f0

1340829936 has 50 divisors (see below), whose sum is σ = 3880754592. Its totient is φ = 446942880.

The previous prime is 1340829911. The next prime is 1340829953. The reversal of 1340829936 is 6399280431.

It is a happy number.

It is a super-3 number, since 3×13408299363 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1340829891 and 1340829900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 516000 + ... + 518591.

Almost surely, 21340829936 is an apocalyptic number.

1340829936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1340829936 is an abundant number, since it is smaller than the sum of its proper divisors (2539924656).

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

1340829936 is a wasteful number, since it uses less digits than its factorization.

1340829936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034611 (or 1034596 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1340829936 is about 36617.3447426216. The cubic root of 1340829936 is about 1102.7013321057.

The spelling of 1340829936 in words is "one billion, three hundred forty million, eight hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1034591 2069182 3103773 4138364 6207546 8276728 9311319 12415092 16553456 18622638 24830184 27933957 37245276 49660368 55867914 74490552 83801871 111735828 148981104 167603742 223471656 335207484 446943312 670414968 1340829936