Search a number
-
+
318035628 = 2232231912011
BaseRepresentation
bin10010111101001…
…101011010101100
3211011102212212100
4102331031122230
51122404120003
651320335100
710611154401
oct2275153254
9734385770
10318035628
11153582969
128a614490
1350b74081
143034a2a8
151cdc2ba3
hex12f4d6ac

318035628 has 72 divisors (see below), whose sum is σ = 843687936. Its totient is φ = 100821600.

The previous prime is 318035621. The next prime is 318035633. The reversal of 318035628 is 826530813.

It is a super-2 number, since 2×3180356282 = 202293321354708768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 318035592 and 318035601.

It is not an unprimeable number, because it can be changed into a prime (318035621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157143 + ... + 159153.

It is an arithmetic number, because the mean of its divisors is an integer number (11717888).

Almost surely, 2318035628 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 318035628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421843968).

318035628 is an abundant number, since it is smaller than the sum of its proper divisors (525652308).

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

318035628 is a wasteful number, since it uses less digits than its factorization.

318035628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 318035628 is about 17833.5534316636. The cubic root of 318035628 is about 682.5879096198.

The spelling of 318035628 in words is "three hundred eighteen million, thirty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 191 207 276 382 414 573 764 828 1146 1719 2011 2292 3438 4022 4393 6033 6876 8044 8786 12066 13179 17572 18099 24132 26358 36198 39537 46253 52716 72396 79074 92506 138759 158148 185012 277518 384101 416277 555036 768202 832554 1152303 1536404 1665108 2304606 3456909 4609212 6913818 8834323 13827636 17668646 26502969 35337292 53005938 79508907 106011876 159017814 318035628