Search a number
-
+
1035343540 = 225721196043
BaseRepresentation
bin111101101101100…
…001011010110100
32200011011220100001
4331231201122310
54110021443130
6250423001044
734441163200
oct7555413264
92604156301
101035343540
11491473a20
1224a899184
1313666341a
149b70bb00
1560d636ca
hex3db616b4

1035343540 has 72 divisors (see below), whose sum is σ = 2759152032. Its totient is φ = 322701120.

The previous prime is 1035343523. The next prime is 1035343541. The reversal of 1035343540 is 453435301.

It is a super-3 number, since 3×10353435403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1035343499 and 1035343508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035343541) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37242 + ... + 58801.

It is an arithmetic number, because the mean of its divisors is an integer number (38321556).

Almost surely, 21035343540 is an apocalyptic number.

1035343540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035343540 is an abundant number, since it is smaller than the sum of its proper divisors (1723808492).

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

1035343540 is a wasteful number, since it uses less digits than its factorization.

1035343540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96077 (or 96068 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 1035343540 is about 32176.7546530100. The cubic root of 1035343540 is about 1011.6450465081.

Adding to 1035343540 its reverse (453435301), we get a palindrome (1488778841).

The spelling of 1035343540 in words is "one billion, thirty-five million, three hundred forty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 96043 192086 384172 480215 672301 960430 1056473 1344602 1920860 2112946 2689204 3361505 4225892 4706107 5282365 6723010 7395311 9412214 10564730 13446020 14790622 18824428 21129460 23530535 29581244 36976555 47061070 51767177 73953110 94122140 103534354 147906220 207068708 258835885 517671770 1035343540