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1040544340 = 2251123711621
BaseRepresentation
bin111110000001010…
…111001001010100
32200111222010111021
4332001113021110
54112334404330
6251130250524
734533323653
oct7601271124
92614863437
101040544340
114943a6400
12250586a44
13137764714
149c2a319a
156153e67a
hex3e057254

1040544340 has 72 divisors (see below), whose sum is σ = 2466978696. Its totient is φ = 368121600.

The previous prime is 1040544293. The next prime is 1040544343. The reversal of 1040544340 is 434450401.

It can be written as a sum of positive squares in 4 ways, for example, as 87834384 + 952709956 = 9372^2 + 30866^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040544343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83730 + ... + 95350.

It is an arithmetic number, because the mean of its divisors is an integer number (34263593).

Almost surely, 21040544340 is an apocalyptic number.

1040544340 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 1040544340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233489348).

1040544340 is an abundant number, since it is smaller than the sum of its proper divisors (1426434356).

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

1040544340 is a wasteful number, since it uses less digits than its factorization.

1040544340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11689 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1040544340 is about 32257.4695225772. The cubic root of 1040544340 is about 1013.3361368324.

Adding to 1040544340 its reverse (434450401), we get a palindrome (1474994741).

It can be divided in two parts, 10405 and 44340, that added together give a palindrome (54745).

The spelling of 1040544340 in words is "one billion, forty million, five hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 740 814 1210 1628 2035 2420 4070 4477 8140 8954 11621 17908 22385 23242 44770 46484 58105 89540 116210 127831 232420 255662 429977 511324 639155 859954 1278310 1406141 1719908 2149885 2556620 2812282 4299770 4729747 5624564 7030705 8599540 9459494 14061410 18918988 23648735 28122820 47297470 52027217 94594940 104054434 208108868 260136085 520272170 1040544340