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305030466 = 232132197509
BaseRepresentation
bin10010001011100…
…110010101000010
3210020222011010200
4102023212111002
51111041433331
650133510030
710362500436
oct2213462502
9706864120
10305030466
111471aa9a4
12861a2316
134b26c700
142c7229c6
151bba45e6
hex122e6542

305030466 has 72 divisors (see below), whose sum is σ = 720694260. Its totient is φ = 93195648.

The previous prime is 305030459. The next prime is 305030471. The reversal of 305030466 is 664030503.

It can be written as a sum of positive squares in 6 ways, for example, as 182817441 + 122213025 = 13521^2 + 11055^2 .

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, 599020 + ... + 599528.

Almost surely, 2305030466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305030466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360347130).

305030466 is an abundant number, since it is smaller than the sum of its proper divisors (415663794).

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

305030466 is a wasteful number, since it uses less digits than its factorization.

305030466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 305030466 is about 17465.1214138351. The cubic root of 305030466 is about 673.1539616861.

Adding to 305030466 its reverse (664030503), we get a palindrome (969060969).

The spelling of 305030466 in words is "three hundred five million, thirty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 197 234 338 394 507 509 591 1014 1018 1182 1521 1527 1773 2561 3042 3054 3546 4581 5122 6617 7683 9162 13234 15366 19851 23049 33293 39702 46098 59553 66586 86021 99879 100273 119106 172042 199758 200546 258063 299637 300819 516126 599274 601638 774189 902457 1303549 1548378 1804914 2607098 3910647 7821294 11731941 16946137 23463882 33892274 50838411 101676822 152515233 305030466