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1034141430 = 235728317401
BaseRepresentation
bin111101101000111…
…011111011110110
32200001220211100110
4331220323323312
54104220011210
6250341123450
734425025410
oct7550737366
92601824313
101034141430
11490822843
1224a3b9586
1313633220a
149b4b79b0
1560bc7420
hex3da3bef6

1034141430 has 64 divisors (see below), whose sum is σ = 2846688768. Its totient is φ = 235526400.

The previous prime is 1034141419. The next prime is 1034141489. The reversal of 1034141430 is 341414301.

1034141430 is digitally balanced in base 6, 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 (21).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1034141397 and 1034141406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50730 + ... + 68130.

It is an arithmetic number, because the mean of its divisors is an integer number (44479512).

Almost surely, 21034141430 is an apocalyptic number.

1034141430 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 1034141430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423344384).

1034141430 is an abundant number, since it is smaller than the sum of its proper divisors (1812547338).

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

1034141430 is a wasteful number, since it uses less digits than its factorization.

1034141430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17701.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1034141430 is about 32158.0694383229. The cubic root of 1034141430 is about 1011.2533634427.

Adding to 1034141430 its reverse (341414301), we get a palindrome (1375555731).

The spelling of 1034141430 in words is "one billion, thirty-four million, one hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 283 566 849 1415 1698 1981 2830 3962 4245 5943 8490 9905 11886 17401 19810 29715 34802 52203 59430 87005 104406 121807 174010 243614 261015 365421 522030 609035 730842 1218070 1827105 3654210 4924483 9848966 14773449 24622415 29546898 34471381 49244830 68942762 73867245 103414143 147734490 172356905 206828286 344713810 517070715 1034141430