Search a number
-
+
1421644340 = 225377326317
BaseRepresentation
bin101010010111100…
…1001001000110100
310200002002000102002
41110233021020310
510402420104330
6353022434432
750141530454
oct12457111064
93602060362
101421644340
1166a532486
12338132a18
131986b948c
14d6b47d64
1584c1ce45
hex54bc9234

1421644340 has 48 divisors (see below), whose sum is σ = 3108261072. Its totient is φ = 545688576.

The previous prime is 1421644339. The next prime is 1421644349. The reversal of 1421644340 is 434461241.

It can be written as a sum of positive squares in 8 ways, for example, as 96393124 + 1325251216 = 9818^2 + 36404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421644349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40862 + ... + 67178.

It is an arithmetic number, because the mean of its divisors is an integer number (64755439).

Almost surely, 21421644340 is an apocalyptic number.

1421644340 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 1421644340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554130536).

1421644340 is an abundant number, since it is smaller than the sum of its proper divisors (1686616732).

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

1421644340 is a wasteful number, since it uses less digits than its factorization.

1421644340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26436 (or 26434 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 1421644340 is about 37704.6991766278. The cubic root of 1421644340 is about 1124.4245524526.

The spelling of 1421644340 in words is "one billion, four hundred twenty-one million, six hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 73 74 146 148 185 292 365 370 730 740 1460 2701 5402 10804 13505 26317 27010 52634 54020 105268 131585 263170 526340 973729 1921141 1947458 3842282 3894916 4868645 7684564 9605705 9737290 19211410 19474580 38422820 71082217 142164434 284328868 355411085 710822170 1421644340