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311340030 = 23550920389
BaseRepresentation
bin10010100011101…
…010101111111110
3210200211201020020
4102203222233332
51114200340110
650521033010
710500226611
oct2243525776
9720751206
10311340030
1114a81a411
1288325766
134c66b591
142d4c6178
151c4edd70
hex128eabfe

311340030 has 32 divisors (see below), whose sum is σ = 748720800. Its totient is φ = 82856832.

The previous prime is 311340017. The next prime is 311340031. The reversal of 311340030 is 30043113.

It is a super-3 number, since 3×3113400303 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 311339991 and 311340009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311340031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5076 + ... + 25464.

It is an arithmetic number, because the mean of its divisors is an integer number (23397525).

Almost surely, 2311340030 is an apocalyptic number.

311340030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311340030 is an abundant number, since it is smaller than the sum of its proper divisors (437380770).

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

311340030 is a wasteful number, since it uses less digits than its factorization.

311340030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20908.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 311340030 is about 17644.8301210298. The cubic root of 311340030 is about 677.7637249816.

Adding to 311340030 its reverse (30043113), we get a palindrome (341383143).

The spelling of 311340030 in words is "three hundred eleven million, three hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 509 1018 1527 2545 3054 5090 7635 15270 20389 40778 61167 101945 122334 203890 305835 611670 10378001 20756002 31134003 51890005 62268006 103780010 155670015 311340030