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1034220440 = 235115939839
BaseRepresentation
bin111101101001001…
…111001110011000
32200002001211201202
4331221033032120
54104230023230
6250342533332
734425504641
oct7551171630
92602054652
101034220440
11490877140
1224a437248
1313635c176
149b4d86c8
1560be0a45
hex3da4f398

1034220440 has 64 divisors (see below), whose sum is σ = 2581632000. Its totient is φ = 369696640.

The previous prime is 1034220437. The next prime is 1034220443. The reversal of 1034220440 is 440224301.

It is an interprime number because it is at equal distance from previous prime (1034220437) and next prime (1034220443).

It is a super-2 number, since 2×10342204402 = 2139223837027587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034220443) 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 15 ways as a sum of consecutive naturals, for example, 6041 + ... + 45879.

It is an arithmetic number, because the mean of its divisors is an integer number (40338000).

Almost surely, 21034220440 is an apocalyptic number.

1034220440 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 1034220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290816000).

1034220440 is an abundant number, since it is smaller than the sum of its proper divisors (1547411560).

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

1034220440 is a wasteful number, since it uses less digits than its factorization.

1034220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39920 (or 39916 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1034220440 is about 32159.2978779077. The cubic root of 1034220440 is about 1011.2791165590.

Adding to 1034220440 its reverse (440224301), we get a palindrome (1474444741).

The spelling of 1034220440 in words is "one billion, thirty-four million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 2360 2596 3245 5192 6490 12980 25960 39839 79678 159356 199195 318712 398390 438229 796780 876458 1593560 1752916 2191145 2350501 3505832 4382290 4701002 8764580 9402004 11752505 17529160 18804008 23505010 25855511 47010020 51711022 94020040 103422044 129277555 206844088 258555110 517110220 1034220440