Search a number
-
+
1054442340 = 2233571761269
BaseRepresentation
bin111110110110011…
…000001101100100
32201111010012222000
4332312120031210
54124414123330
6252344205300
735062416630
oct7666301544
92644105860
101054442340
114a1229156
12255169830
1313a5bc5a3
14a007ddc0
1562887560
hex3ed98364

1054442340 has 384 divisors, whose sum is σ = 4049740800. Its totient is φ = 222289920.

The previous prime is 1054442329. The next prime is 1054442341. The reversal of 1054442340 is 432444501.

It is a happy number.

It is a super-2 number, since 2×10544423402 = 2223697296769351200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1054442341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3919726 + ... + 3919994.

It is an arithmetic number, because the mean of its divisors is an integer number (10546200).

Almost surely, 21054442340 is an apocalyptic number.

1054442340 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 1054442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024870400).

1054442340 is an abundant number, since it is smaller than the sum of its proper divisors (2995298460).

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

1054442340 is a wasteful number, since it uses less digits than its factorization.

1054442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1054442340 is about 32472.1779374282. The cubic root of 1054442340 is about 1017.8277299930.

Adding to 1054442340 its reverse (432444501), we get a palindrome (1486886841).

The spelling of 1054442340 in words is "one billion, fifty-four million, four hundred forty-two thousand, three hundred forty".