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312794340 = 2235193153167
BaseRepresentation
bin10010101001001…
…101110011100100
3210210120121011120
4102221031303210
51120033404330
651012133540
710515464565
oct2251156344
9723517146
10312794340
11150623021
12889072b0
134ca5a511
142d78416c
151c6d9c10
hex12a4dce4

312794340 has 192 divisors, whose sum is σ = 975421440. Its totient is φ = 74580480.

The previous prime is 312794329. The next prime is 312794347. The reversal of 312794340 is 43497213.

It is not an unprimeable number, because it can be changed into a prime (312794347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1872937 + ... + 1873103.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2312794340 is an apocalyptic number.

312794340 is a gapful number since it is divisible by the number (30) 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 312794340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

312794340 is an abundant number, since it is smaller than the sum of its proper divisors (662627100).

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

312794340 is a wasteful number, since it uses less digits than its factorization.

312794340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 312794340 is about 17685.9927626356. The cubic root of 312794340 is about 678.8173937403.

The spelling of 312794340 in words is "three hundred twelve million, seven hundred ninety-four thousand, three hundred forty".