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34301312 = 27893011
BaseRepresentation
bin1000001011011…
…0010110000000
32101112200112222
42002312112000
532240120222
63223110212
7564361553
oct202662600
971480488
1034301312
11183a90a1
12b5a2368
13714ca46
1447ac69a
153028542
hex20b6580

34301312 has 32 divisors (see below), whose sum is σ = 69125400. Its totient is φ = 16952320.

The previous prime is 34301279. The next prime is 34301321. The reversal of 34301312 is 21310343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9887 + ... + 12897.

Almost surely, 234301312 is an apocalyptic number.

34301312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34562700).

34301312 is an abundant number, since it is smaller than the sum of its proper divisors (34824088).

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

34301312 is an equidigital number, since it uses as much as digits as its factorization.

34301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 34301312 is about 5856.7321946628. The cubic root of 34301312 is about 324.9153609970.

Adding to 34301312 its reverse (21310343), we get a palindrome (55611655).

The spelling of 34301312 in words is "thirty-four million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 3011 5696 6022 11392 12044 24088 48176 96352 192704 267979 385408 535958 1071916 2143832 4287664 8575328 17150656 34301312