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34413312 = 28344809
BaseRepresentation
bin1000001101000…
…1101100000000
32101202101012010
42003101230000
532302211222
63225332520
7565336233
oct203215400
971671163
1034413312
111847525a
12b637140
13718ba0b
1447db41a
15304b80c
hex20d1b00

34413312 has 36 divisors (see below), whose sum is σ = 91591640. Its totient is φ = 11470848.

The previous prime is 34413299. The next prime is 34413319. The reversal of 34413312 is 21331443.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34413319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21637 + ... + 23172.

Almost surely, 234413312 is an apocalyptic number.

34413312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34413312 is an abundant number, since it is smaller than the sum of its proper divisors (57178328).

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

34413312 is an equidigital number, since it uses as much as digits as its factorization.

34413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44828 (or 44814 counting only the distinct ones).

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

The square root of 34413312 is about 5866.2860482592. The cubic root of 34413312 is about 325.2686126444.

Adding to 34413312 its reverse (21331443), we get a palindrome (55744755).

The spelling of 34413312 in words is "thirty-four million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 44809 89618 134427 179236 268854 358472 537708 716944 1075416 1433888 2150832 2867776 4301664 5735552 8603328 11471104 17206656 34413312