Search a number
-
+
1141844340 = 22357131631283
BaseRepresentation
bin100010000001111…
…0010100101110100
32221120120200222010
41010003302211310
54314303004330
6305145404220
740203342150
oct10403624564
92846520863
101141844340
115365a560a
1227a499670
13152741b50
14ab912060
156a39e3b0
hex440f2974

1141844340 has 192 divisors, whose sum is σ = 3962198016. Its totient is φ = 239251968.

The previous prime is 1141844293. The next prime is 1141844357. The reversal of 1141844340 is 434481411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1141844298 and 1141844307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 889339 + ... + 890621.

It is an arithmetic number, because the mean of its divisors is an integer number (20636448).

Almost surely, 21141844340 is an apocalyptic number.

1141844340 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 1141844340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981099008).

1141844340 is an abundant number, since it is smaller than the sum of its proper divisors (2820353676).

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

1141844340 is a wasteful number, since it uses less digits than its factorization.

1141844340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1141844340 is about 33791.1873126707. The cubic root of 1141844340 is about 1045.2069795978.

The spelling of 1141844340 in words is "one billion, one hundred forty-one million, eight hundred forty-four thousand, three hundred forty".