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311411430 = 2325113173139
BaseRepresentation
bin10010100011111…
…100001011100110
3210200222100011200
4102203330023212
51114210131210
650522343330
710500645021
oct2243741346
9720870150
10311411430
1114a869020
128835ab46
134c694c25
142d5041b8
151c5150c0
hex128fc2e6

311411430 has 192 divisors, whose sum is σ = 930908160. Its totient is φ = 71539200.

The previous prime is 311411417. The next prime is 311411437. The reversal of 311411430 is 34114113.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311411437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2240301 + ... + 2240439.

It is an arithmetic number, because the mean of its divisors is an integer number (4848480).

Almost surely, 2311411430 is an apocalyptic number.

311411430 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 311411430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465454080).

311411430 is an abundant number, since it is smaller than the sum of its proper divisors (619496730).

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

311411430 is a wasteful number, since it uses less digits than its factorization.

311411430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 311411430 is about 17646.8532605674. The cubic root of 311411430 is about 677.8155318235.

Adding to 311411430 its reverse (34114113), we get a palindrome (345525543).

The spelling of 311411430 in words is "three hundred eleven million, four hundred eleven thousand, four hundred thirty".