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32345430 = 23513197421
BaseRepresentation
bin111101101100…
…0110101010110
32020212022120220
41323120311112
531240023210
63113135210
7541634355
oct173306526
966768526
1032345430
1117292667
12a9ba506
136916710
14441d99c
152c8dc70
hex1ed8d56

32345430 has 64 divisors (see below), whose sum is σ = 84224448. Its totient is φ = 7902720.

The previous prime is 32345419. The next prime is 32345473. The reversal of 32345430 is 3454323.

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

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 32345430.

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, 76620 + ... + 77040.

It is an arithmetic number, because the mean of its divisors is an integer number (1316007).

Almost surely, 232345430 is an apocalyptic number.

32345430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32345430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42112224).

32345430 is an abundant number, since it is smaller than the sum of its proper divisors (51879018).

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

32345430 is a wasteful number, since it uses less digits than its factorization.

32345430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641.

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 32345430 is about 5687.3042823468. The cubic root of 32345430 is about 318.6184909247.

Adding to 32345430 its reverse (3454323), we get a palindrome (35799753).

It can be divided in two parts, 323 and 45430, that added together give a triangular number (45753 = T302).

The spelling of 32345430 in words is "thirty-two million, three hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 197 390 394 421 591 842 985 1182 1263 1970 2105 2526 2561 2955 4210 5122 5473 5910 6315 7683 10946 12630 12805 15366 16419 25610 27365 32838 38415 54730 76830 82095 82937 164190 165874 248811 414685 497622 829370 1078181 1244055 2156362 2488110 3234543 5390905 6469086 10781810 16172715 32345430