Search a number
-
+
1044301340 = 225312337229
BaseRepresentation
bin111110001111101…
…100011000011100
32200210001000010102
4332033230120130
54114320120330
6251343000232
734610262215
oct7617543034
92623030112
101044301340
11496532065
12251899078
1313847b7b4
149c9a040c
1561a32945
hex3e3ec61c

1044301340 has 48 divisors (see below), whose sum is σ = 2273806080. Its totient is φ = 402455040.

The previous prime is 1044301303. The next prime is 1044301367. The reversal of 1044301340 is 431034401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140846 + ... + 148074.

It is an arithmetic number, because the mean of its divisors is an integer number (47370960).

Almost surely, 21044301340 is an apocalyptic number.

1044301340 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 1044301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136903040).

1044301340 is an abundant number, since it is smaller than the sum of its proper divisors (1229504740).

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

1044301340 is a wasteful number, since it uses less digits than its factorization.

1044301340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1044301340 is about 32315.6516257989. The cubic root of 1044301340 is about 1014.5542592130.

Adding to 1044301340 its reverse (431034401), we get a palindrome (1475335741).

The spelling of 1044301340 in words is "one billion, forty-four million, three hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 233 310 466 620 932 1165 2330 4660 7223 7229 14446 14458 28892 28916 36115 36145 72230 72290 144460 144580 224099 448198 896396 1120495 1684357 2240990 3368714 4481980 6737428 8421785 16843570 33687140 52215067 104430134 208860268 261075335 522150670 1044301340