Search a number
-
+
34850304 = 29332521
BaseRepresentation
bin1000010011110…
…0011000000000
32102120120122000
42010330120000
532410202204
63242544000
7602136246
oct204743000
972516560
1034850304
1118743605
12b808000
1372b28a8
1448b2796
1530d6039
hex213c600

34850304 has 80 divisors (see below), whose sum is σ = 103200240. Its totient is φ = 11612160.

The previous prime is 34850303. The next prime is 34850317. The reversal of 34850304 is 40305843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34850303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12564 + ... + 15084.

It is an arithmetic number, because the mean of its divisors is an integer number (1290003).

Almost surely, 234850304 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 34850304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51600120).

34850304 is an abundant number, since it is smaller than the sum of its proper divisors (68349936).

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

34850304 is an equidigital number, since it uses as much as digits as its factorization.

34850304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34850304 is about 5903.4146051247. The cubic root of 34850304 is about 326.6396164375.

The spelling of 34850304 in words is "thirty-four million, eight hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 2521 3456 4608 5042 6912 7563 10084 13824 15126 20168 22689 30252 40336 45378 60504 68067 80672 90756 121008 136134 161344 181512 242016 272268 322688 363024 484032 544536 645376 726048 968064 1089072 1290752 1452096 1936128 2178144 2904192 3872256 4356288 5808384 8712576 11616768 17425152 34850304