Search a number
-
+
1035040314 = 2371119611933
BaseRepresentation
bin111101101100010…
…111011000111010
32200010121111101110
4331230113120322
54104432242224
6250412301150
734435461150
oct7554273072
92603544343
101035040314
11491287120
1224a7717b6
131365883b9
149b66d3d0
1560d03929
hex3db1763a

1035040314 has 128 divisors (see below), whose sum is σ = 2762680320. Its totient is φ = 250387200.

The previous prime is 1035040309. The next prime is 1035040361. The reversal of 1035040314 is 4130405301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534492 + ... + 536424.

It is an arithmetic number, because the mean of its divisors is an integer number (21583440).

Almost surely, 21035040314 is an apocalyptic number.

1035040314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035040314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381340160).

1035040314 is an abundant number, since it is smaller than the sum of its proper divisors (1727640006).

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

1035040314 is a wasteful number, since it uses less digits than its factorization.

1035040314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1035040314 is about 32172.0424281705. The cubic root of 1035040314 is about 1011.5462750952.

Adding to 1035040314 its reverse (4130405301), we get a palindrome (5165445615).

The spelling of 1035040314 in words is "one billion, thirty-five million, forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 61 66 77 114 122 133 154 183 209 231 266 366 399 418 427 462 627 671 798 854 1159 1254 1281 1342 1463 1933 2013 2318 2562 2926 3477 3866 4026 4389 4697 5799 6954 8113 8778 9394 11598 12749 13531 14091 16226 21263 24339 25498 27062 28182 36727 38247 40593 42526 48678 63789 73454 76494 81186 89243 110181 117913 127578 148841 178486 220362 235826 257089 267729 297682 353739 403997 446523 514178 535458 707478 771267 807994 825391 893046 1211991 1297043 1542534 1650782 2240347 2423982 2476173 2594086 2827979 3891129 4480694 4952346 5655958 6721041 7782258 8483937 9079301 13442082 15682429 16967874 18158602 24643817 27237903 31364858 47047287 49287634 54475806 73931451 94094574 147862902 172506719 345013438 517520157 1035040314