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311414418 = 23279112713
BaseRepresentation
bin10010100011111…
…100111010010010
3210200222111021100
4102203330322102
51114210230133
650522405230
710500656520
oct2243747222
9720874240
10311414418
1114a870297
1288360816
134c6963b3
142d505310
151c515e13
hex128fce92

311414418 has 48 divisors (see below), whose sum is σ = 772252416. Its totient is φ = 88845120.

The previous prime is 311414407. The next prime is 311414429. The reversal of 311414418 is 814414113.

311414418 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (311414407) and next prime (311414429).

It is a junction number, because it is equal to n+sod(n) for n = 311414391 and 311414400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113430 + ... + 116142.

It is an arithmetic number, because the mean of its divisors is an integer number (16088592).

Almost surely, 2311414418 is an apocalyptic number.

311414418 is an abundant number, since it is smaller than the sum of its proper divisors (460837998).

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

311414418 is a wasteful number, since it uses less digits than its factorization.

311414418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3636 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 311414418 is about 17646.9379213505. The cubic root of 311414418 is about 677.8176997019.

The spelling of 311414418 in words is "three hundred eleven million, four hundred fourteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 911 1822 2713 2733 5426 5466 6377 8139 8199 12754 16278 16398 18991 19131 24417 37982 38262 48834 56973 57393 113946 114786 170919 341838 2471543 4943086 7414629 14829258 17300801 22243887 34601602 44487774 51902403 103804806 155707209 311414418