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315038430 = 233571931283
BaseRepresentation
bin10010110001110…
…001101011011110
3210221210121111000
4102301301223132
51121122212210
651132211130
710543532250
oct2261615336
9727717430
10315038430
11151916043
1289609aa6
1350364a95
142dba9cd0
151c9ceac0
hex12c71ade

315038430 has 256 divisors, whose sum is σ = 1046937600. Its totient is φ = 65784960.

The previous prime is 315038417. The next prime is 315038453. The reversal of 315038430 is 34830513.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 315038394 and 315038403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1113069 + ... + 1113351.

It is an arithmetic number, because the mean of its divisors is an integer number (4089600).

Almost surely, 2315038430 is an apocalyptic number.

315038430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315038430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523468800).

315038430 is an abundant number, since it is smaller than the sum of its proper divisors (731899170).

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

315038430 is a wasteful number, since it uses less digits than its factorization.

315038430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 315038430 is about 17749.3219588806. The cubic root of 315038430 is about 680.4368804448.

Adding to 315038430 its reverse (34830513), we get a palindrome (349868943).

The spelling of 315038430 in words is "three hundred fifteen million, thirty-eight thousand, four hundred thirty".