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343814814 = 23373372699
BaseRepresentation
bin10100011111100…
…011001010011110
3212221221121021000
4110133203022132
51201004033224
654041051130
711343243360
oct2437431236
9787847230
10343814814
11167090182
1297186aa6
13562cbb25
143393ad30
15202b60c9
hex147e329e

343814814 has 64 divisors (see below), whose sum is σ = 876096000. Its totient is φ = 97905024.

The previous prime is 343814813. The next prime is 343814819. The reversal of 343814814 is 418418343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343814813) 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, 126037 + ... + 128735.

It is an arithmetic number, because the mean of its divisors is an integer number (13689000).

Almost surely, 2343814814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343814814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438048000).

343814814 is an abundant number, since it is smaller than the sum of its proper divisors (532281186).

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

343814814 is a wasteful number, since it uses less digits than its factorization.

343814814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3048 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 343814814 is about 18542.2440389506. The cubic root of 343814814 is about 700.5538568976.

The spelling of 343814814 in words is "three hundred forty-three million, eight hundred fourteen thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 337 378 674 1011 2022 2359 2699 3033 4718 5398 6066 7077 8097 9099 14154 16194 18198 18893 21231 24291 37786 42462 48582 56679 63693 72873 113358 127386 145746 170037 340074 510111 909563 1020222 1819126 2728689 5457378 6366941 8186067 12733882 16372134 19100823 24558201 38201646 49116402 57302469 114604938 171907407 343814814