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309912834 = 237112332879
BaseRepresentation
bin10010011110001…
…110010100000010
3210121011012111010
4102132032110002
51113314202314
650430301350
710452133650
oct2236162402
9717135433
10309912834
11149a35110
1287957856
134c28ba9a
142d233dd0
151c31b059
hex1278e502

309912834 has 64 divisors (see below), whose sum is σ = 776355840. Its totient is φ = 80123520.

The previous prime is 309912829. The next prime is 309912847. The reversal of 309912834 is 438219903.

It is a junction number, because it is equal to n+sod(n) for n = 309912792 and 309912801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106207 + ... + 109085.

It is an arithmetic number, because the mean of its divisors is an integer number (12130560).

Almost surely, 2309912834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309912834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388177920).

309912834 is an abundant number, since it is smaller than the sum of its proper divisors (466443006).

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

309912834 is a wasteful number, since it uses less digits than its factorization.

309912834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 309912834 is about 17604.3413395674. The cubic root of 309912834 is about 676.7265058532.

The spelling of 309912834 in words is "three hundred nine million, nine hundred twelve thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 233 462 466 699 1398 1631 2563 2879 3262 4893 5126 5758 7689 8637 9786 15378 17274 17941 20153 31669 35882 40306 53823 60459 63338 95007 107646 120918 190014 221683 443366 665049 670807 1330098 1341614 2012421 4024842 4695649 7378877 9391298 14086947 14757754 22136631 28173894 44273262 51652139 103304278 154956417 309912834