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1023434430 = 235193748527
BaseRepresentation
bin111101000000000…
…101111010111110
32122022202212002220
4331000011322332
54043444400210
6245315430210
734235022564
oct7500057276
92568685086
101023434430
1148577a487
122468b5366
13134053905
1499ccba34
155ecaec70
hex3d005ebe

1023434430 has 64 divisors (see below), whose sum is σ = 2655452160. Its totient is φ = 251558784.

The previous prime is 1023434413. The next prime is 1023434431. The reversal of 1023434430 is 344343201.

1023434430 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1023434430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023434431) 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, 3174 + ... + 45353.

It is an arithmetic number, because the mean of its divisors is an integer number (41491440).

Almost surely, 21023434430 is an apocalyptic number.

1023434430 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 1023434430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327726080).

1023434430 is an abundant number, since it is smaller than the sum of its proper divisors (1632017730).

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

1023434430 is a wasteful number, since it uses less digits than its factorization.

1023434430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48593.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1023434430 is about 31991.1617482079. The cubic root of 1023434430 is about 1007.7512397136.

Adding to 1023434430 its reverse (344343201), we get a palindrome (1367777631).

The spelling of 1023434430 in words is "one billion, twenty-three million, four hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2109 3515 4218 7030 10545 21090 48527 97054 145581 242635 291162 485270 727905 922013 1455810 1795499 1844026 2766039 3590998 4610065 5386497 5532078 8977495 9220130 10772994 13830195 17954990 26932485 27660390 34114481 53864970 68228962 102343443 170572405 204686886 341144810 511717215 1023434430