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311423040 = 26325711523
BaseRepresentation
bin10010100011111…
…111000001000000
3210200222221002200
4102203333001000
51114211014130
650522513200
710501023615
oct2243770100
9720887080
10311423040
1114a876815
1288365800
134c69a2b6
142d50850c
151c518760
hex128ff040

311423040 has 168 divisors, whose sum is σ = 1086965568. Its totient is φ = 81822720.

The previous prime is 311423033. The next prime is 311423041. The reversal of 311423040 is 40324113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311423041) 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, 203719 + ... + 205241.

Almost surely, 2311423040 is an apocalyptic number.

311423040 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 311423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543482784).

311423040 is an abundant number, since it is smaller than the sum of its proper divisors (775542528).

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

311423040 is a wasteful number, since it uses less digits than its factorization.

311423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 311423040 is about 17647.1822113333. The cubic root of 311423040 is about 677.8239551287.

Adding to 311423040 its reverse (40324113), we get a palindrome (351747153).

The spelling of 311423040 in words is "three hundred eleven million, four hundred twenty-three thousand, forty".