Search a number
-
+
34306048 = 21172393
BaseRepresentation
bin1000001011011…
…1100000000000
32101112221001101
42002313200000
532240243143
63223144144
7564411430
oct202674000
971487041
1034306048
1118401707
12b5a5054
137151c4a
1447b02c0
153029b4d
hex20b7800

34306048 has 48 divisors (see below), whose sum is σ = 78427440. Its totient is φ = 14696448.

The previous prime is 34306031. The next prime is 34306049. The reversal of 34306048 is 84060343.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34306049) 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, 13140 + ... + 15532.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 234306048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39213720).

34306048 is an abundant number, since it is smaller than the sum of its proper divisors (44121392).

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

34306048 is an equidigital number, since it uses as much as digits as its factorization.

34306048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 34306048 is about 5857.1365017387. The cubic root of 34306048 is about 324.9303140532.

The spelling of 34306048 in words is "thirty-four million, three hundred six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 2393 3584 4786 7168 9572 14336 16751 19144 33502 38288 67004 76576 134008 153152 268016 306304 536032 612608 1072064 1225216 2144128 2450432 4288256 4900864 8576512 17153024 34306048