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1431023430 = 235234674441
BaseRepresentation
bin101010101001011…
…1010111101000110
310200201201112002210
41111102322331012
510412320222210
6353555444250
750314332654
oct12522727506
93621645083
101431023430
116748590a1
1233b2b6686
1319a621535
14d80a9dd4
1585971e20
hex554baf46

1431023430 has 64 divisors (see below), whose sum is σ = 3592263168. Its totient is φ = 364151040.

The previous prime is 1431023423. The next prime is 1431023441. The reversal of 1431023430 is 343201341.

It is a junction number, because it is equal to n+sod(n) for n = 1431023397 and 1431023406.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 320010 + ... + 324450.

It is an arithmetic number, because the mean of its divisors is an integer number (56129112).

Almost surely, 21431023430 is an apocalyptic number.

1431023430 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 1431023430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796131584).

1431023430 is an abundant number, since it is smaller than the sum of its proper divisors (2161239738).

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

1431023430 is a wasteful number, since it uses less digits than its factorization.

1431023430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1431023430 is about 37828.8703241321. The cubic root of 1431023430 is about 1126.8918764616.

Adding to 1431023430 its reverse (343201341), we get a palindrome (1774224771).

The spelling of 1431023430 in words is "one billion, four hundred thirty-one million, twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 467 690 934 1401 2335 2802 4441 4670 7005 8882 10741 13323 14010 21482 22205 26646 32223 44410 53705 64446 66615 102143 107410 133230 161115 204286 306429 322230 510715 612858 1021430 1532145 2073947 3064290 4147894 6221841 10369735 12443682 20739470 31109205 47700781 62218410 95401562 143102343 238503905 286204686 477007810 715511715 1431023430