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1040301450 = 23252109127167
BaseRepresentation
bin111110000000011…
…011110110001010
32200111111210022100
4332000123312022
54112304121300
6251121134230
734531262556
oct7600336612
92614453270
101040301450
1149424a971
1225048a376
131376aacb6
149c23c866
15614e2700
hex3e01bd8a

1040301450 has 144 divisors (see below), whose sum is σ = 2859816960. Its totient is φ = 271071360.

The previous prime is 1040301421. The next prime is 1040301463. The reversal of 1040301450 is 541030401.

It is a happy number.

1040301450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6229267 + ... + 6229433.

It is an arithmetic number, because the mean of its divisors is an integer number (19859840).

Almost surely, 21040301450 is an apocalyptic number.

1040301450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040301450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429908480).

1040301450 is an abundant number, since it is smaller than the sum of its proper divisors (1819515510).

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

1040301450 is a wasteful number, since it uses less digits than its factorization.

1040301450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1040301450 is about 32253.7044384052. The cubic root of 1040301450 is about 1013.2572843965.

Adding to 1040301450 its reverse (541030401), we get a palindrome (1581331851).

The spelling of 1040301450 in words is "one billion, forty million, three hundred one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 109 127 150 167 218 225 254 327 334 381 450 501 545 635 654 762 835 981 1002 1090 1143 1270 1503 1635 1670 1905 1962 2286 2505 2725 3006 3175 3270 3810 4175 4905 5010 5450 5715 6350 7515 8175 8350 9525 9810 11430 12525 13843 15030 16350 18203 19050 21209 24525 25050 27686 28575 36406 37575 41529 42418 49050 54609 57150 63627 69215 75150 83058 91015 106045 109218 124587 127254 138430 163827 182030 190881 207645 212090 249174 273045 318135 327654 346075 381762 415290 455075 530225 546090 622935 636270 692150 819135 910150 954405 1038225 1060450 1245870 1365225 1590675 1638270 1908810 2076450 2311781 2730450 3114675 3181350 4095675 4623562 4772025 6229350 6935343 8191350 9544050 11558905 13870686 20806029 23117810 34676715 41612058 57794525 69353430 104030145 115589050 173383575 208060290 346767150 520150725 1040301450