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309030696 = 2332132109233
BaseRepresentation
bin10010011010110…
…110111100101000
3210112111101102100
4102122312330220
51113102440241
650355333400
710441501062
oct2232667450
9715441370
10309030696
11149492377
12875b1260
134c040400
142d084732
151c1e49b6
hex126b6f28

309030696 has 144 divisors (see below), whose sum is σ = 918531900. Its totient is φ = 93809664.

The previous prime is 309030677. The next prime is 309030707. The reversal of 309030696 is 696030903.

It can be written as a sum of positive squares in 6 ways, for example, as 33802596 + 275228100 = 5814^2 + 16590^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 309030696.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1326196 + ... + 1326428.

Almost surely, 2309030696 is an apocalyptic number.

309030696 is a gapful number since it is divisible by the number (36) 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 309030696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459265950).

309030696 is an abundant number, since it is smaller than the sum of its proper divisors (609501204).

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

309030696 is a wasteful number, since it uses less digits than its factorization.

309030696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 309030696 is about 17579.2689267785. The cubic root of 309030696 is about 676.0838160373.

The spelling of 309030696 in words is "three hundred nine million, thirty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 109 117 156 169 218 233 234 312 327 338 436 466 468 507 654 676 699 872 932 936 981 1014 1308 1352 1398 1417 1521 1864 1962 2028 2097 2616 2796 2834 3029 3042 3924 4056 4194 4251 5592 5668 6058 6084 7848 8388 8502 9087 11336 12116 12168 12753 16776 17004 18174 18421 24232 25397 25506 27261 34008 36348 36842 39377 50794 51012 54522 55263 72696 73684 76191 78754 101588 102024 109044 110526 118131 147368 152382 157508 165789 203176 218088 221052 228573 236262 304764 315016 330161 331578 354393 442104 457146 472524 609528 660322 663156 708786 914292 945048 990483 1320644 1326312 1417572 1828584 1980966 2641288 2835144 2971449 3961932 4292093 5942898 7923864 8584186 11885796 12876279 17168372 23771592 25752558 34336744 38628837 51505116 77257674 103010232 154515348 309030696