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34340432 = 247379809
BaseRepresentation
bin1000001011111…
…1111001010000
32101121200012212
42002333321100
532242343212
63224011252
7564613610
oct202777120
971550185
1034340432
1118425525
12b600b28
1371647a9
1447bca40
153034e22
hex20bfe50

34340432 has 40 divisors (see below), whose sum is σ = 76334400. Its totient is φ = 14660352.

The previous prime is 34340417. The next prime is 34340447. The reversal of 34340432 is 23404343.

It is a happy number.

34340432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34340417) and next prime (34340447).

It is a junction number, because it is equal to n+sod(n) for n = 34340398 and 34340407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42044 + ... + 42852.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 234340432 is an apocalyptic number.

It is an amenable number.

34340432 is an abundant number, since it is smaller than the sum of its proper divisors (41993968).

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

34340432 is a wasteful number, since it uses less digits than its factorization.

34340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 34340432 is about 5860.0709893311. The cubic root of 34340432 is about 325.0388340183.

Adding to 34340432 its reverse (23404343), we get a palindrome (57744775).

It can be divided in two parts, 343 and 40432, that multiplied together give a square (13868176 = 37242).

The spelling of 34340432 in words is "thirty-four million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 379 758 809 1516 1618 2653 3032 3236 5306 5663 6064 6472 10612 11326 12944 21224 22652 42448 45304 90608 306611 613222 1226444 2146277 2452888 4292554 4905776 8585108 17170216 34340432