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1043034440 = 235737831213
BaseRepresentation
bin111110001010110…
…111000101001000
32200200122122021012
4332022313011020
54114004100230
6251255503052
734563434510
oct7612670510
92620578235
101043034440
11495847238
12251387a88
13138126c56
149c750840
1561882395
hex3e2b7148

1043034440 has 128 divisors (see below), whose sum is σ = 2790063360. Its totient is φ = 343471104.

The previous prime is 1043034413. The next prime is 1043034449. The reversal of 1043034440 is 444303401.

1043034440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10430344402 = 2175841686052227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1043034449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859274 + ... + 860486.

It is an arithmetic number, because the mean of its divisors is an integer number (21797370).

Almost surely, 21043034440 is an apocalyptic number.

1043034440 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 1043034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395031680).

1043034440 is an abundant number, since it is smaller than the sum of its proper divisors (1747028920).

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

1043034440 is a wasteful number, since it uses less digits than its factorization.

1043034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 1043034440 is about 32296.0437205550. The cubic root of 1043034440 is about 1014.1438224727.

Adding to 1043034440 its reverse (444303401), we get a palindrome (1487337841).

The spelling of 1043034440 in words is "one billion, forty-three million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 83 140 148 166 185 259 280 296 332 370 415 518 581 664 740 830 1036 1162 1213 1295 1480 1660 2072 2324 2426 2590 2905 3071 3320 4648 4852 5180 5810 6065 6142 8491 9704 10360 11620 12130 12284 15355 16982 21497 23240 24260 24568 30710 33964 42455 42994 44881 48520 61420 67928 84910 85988 89762 100679 107485 122840 169820 171976 179524 201358 214970 224405 314167 339640 359048 402716 429940 448810 503395 628334 704753 805432 859880 897620 1006790 1256668 1409506 1570835 1795240 2013580 2513336 2819012 3141670 3523765 3725123 4027160 5638024 6283340 7047530 7450246 12566680 14095060 14900492 18625615 26075861 28190120 29800984 37251230 52151722 74502460 104303444 130379305 149004920 208606888 260758610 521517220 1043034440