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1043413434 = 23372939421
BaseRepresentation
bin111110001100010…
…011100110111010
32200201100220011000
4332030103212322
54114103212214
6251311545430
734566603450
oct7614234672
92621326130
101043413434
11495a85a58
1225152b276
1313822a5cb
149c80c9d0
1561909809
hex3e3139ba

1043413434 has 64 divisors (see below), whose sum is σ = 2659265280. Its totient is φ = 297069120.

The previous prime is 1043413433. The next prime is 1043413439. The reversal of 1043413434 is 4343143401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1043413398 and 1043413407.

It is not an unprimeable number, because it can be changed into a prime (1043413433) 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 31 ways as a sum of consecutive naturals, for example, 106044 + ... + 115464.

It is an arithmetic number, because the mean of its divisors is an integer number (41551020).

Almost surely, 21043413434 is an apocalyptic number.

1043413434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043413434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329632640).

1043413434 is an abundant number, since it is smaller than the sum of its proper divisors (1615851846).

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

1043413434 is a wasteful number, since it uses less digits than its factorization.

1043413434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9732 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1043413434 is about 32301.9106865213. The cubic root of 1043413434 is about 1014.2666397278.

Adding to 1043413434 its reverse (4343143401), we get a palindrome (5386556835).

The spelling of 1043413434 in words is "one billion, forty-three million, four hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 293 378 586 879 1758 2051 2637 4102 5274 6153 7911 9421 12306 15822 18459 18842 28263 36918 55377 56526 65947 84789 110754 131894 169578 197841 254367 395682 508734 593523 1187046 1780569 2760353 3561138 5520706 8281059 16562118 19322471 24843177 38644942 49686354 57967413 74529531 115934826 149059062 173902239 347804478 521706717 1043413434