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311749074 = 23572131953
BaseRepresentation
bin10010100101001…
…110100111010010
3210201121111100000
4102211032213102
51114301432244
650533510430
710503552300
oct2245164722
9721544300
10311749074
1114aa7976a
12884a2416
134c782810
142d591270
151c580169
hex1294e9d2

311749074 has 288 divisors, whose sum is σ = 941129280. Its totient is φ = 76422528.

The previous prime is 311749069. The next prime is 311749129. The reversal of 311749074 is 470947113.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5882032 + ... + 5882084.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2311749074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311749074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

311749074 is an abundant number, since it is smaller than the sum of its proper divisors (629380206).

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

311749074 is a wasteful number, since it uses less digits than its factorization.

311749074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 311749074 is about 17656.4173602688. The cubic root of 311749074 is about 678.0604143831.

The spelling of 311749074 in words is "three hundred eleven million, seven hundred forty-nine thousand, seventy-four".