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311442414 = 231719271593
BaseRepresentation
bin10010100100000…
…011101111101110
3210201000220200020
4102210003233232
51114212124124
650523143010
710501134243
oct2244035756
9721026606
10311442414
1114a88a328
1288374a66
134c6a606a
142d5115ca
151c51e379
hex12903bee

311442414 has 64 divisors (see below), whose sum is σ = 697973760. Its totient is φ = 92067840.

The previous prime is 311442409. The next prime is 311442419. The reversal of 311442414 is 414244113.

It is an interprime number because it is at equal distance from previous prime (311442409) and next prime (311442419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311442419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524902 + ... + 525494.

It is an arithmetic number, because the mean of its divisors is an integer number (10905840).

Almost surely, 2311442414 is an apocalyptic number.

311442414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

311442414 is an abundant number, since it is smaller than the sum of its proper divisors (386531346).

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

311442414 is a wasteful number, since it uses less digits than its factorization.

311442414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905.

The product of its digits is 1536, while the sum is 24.

The square root of 311442414 is about 17647.7311289582. The cubic root of 311442414 is about 677.8380109170.

Adding to 311442414 its reverse (414244113), we get a palindrome (725686527).

The spelling of 311442414 in words is "three hundred eleven million, four hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 271 323 542 593 646 813 969 1186 1626 1779 1938 3558 4607 5149 9214 10081 10298 11267 13821 15447 20162 22534 27642 30243 30894 33801 60486 67602 87533 160703 175066 191539 262599 321406 383078 482109 525198 574617 964218 1149234 2731951 3053357 5463902 6106714 8195853 9160071 16391706 18320142 51907069 103814138 155721207 311442414