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1340405220 = 2235711476173
BaseRepresentation
bin100111111100100…
…1111010111100100
310110102012122021210
41033321033113210
510221120431340
6341001311420
745134153640
oct11771172744
93412178253
101340405220
11628695310
12314a95570
131849140ab
14ca03bc20
157ca22180
hex4fe4f5e4

1340405220 has 192 divisors, whose sum is σ = 4779565056. Its totient is φ = 272555520.

The previous prime is 1340405207. The next prime is 1340405291. The reversal of 1340405220 is 225040431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 214054 + ... + 220226.

It is an arithmetic number, because the mean of its divisors is an integer number (24893568).

Almost surely, 21340405220 is an apocalyptic number.

1340405220 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 1340405220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389782528).

1340405220 is an abundant number, since it is smaller than the sum of its proper divisors (3439159836).

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

1340405220 is a wasteful number, since it uses less digits than its factorization.

1340405220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1340405220 is about 36611.5449004819. The cubic root of 1340405220 is about 1102.5848907027.

Adding to 1340405220 its reverse (225040431), we get a palindrome (1565445651).

The spelling of 1340405220 in words is "one billion, three hundred forty million, four hundred five thousand, two hundred twenty".