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343770042 = 237111814111
BaseRepresentation
bin10100011111011…
…000001110111010
3212221212022211210
4110133120032322
51201001120132
654040103550
711342666010
oct2437301672
9787768753
10343770042
1116705a580
1297164bb6
13562b4635
14339288b0
15202a7bcc
hex147d83ba

343770042 has 64 divisors (see below), whose sum is σ = 862138368. Its totient is φ = 88776000.

The previous prime is 343770041. The next prime is 343770047. The reversal of 343770042 is 240077343.

It is a junction number, because it is equal to n+sod(n) for n = 343769991 and 343770009.

It is not an unprimeable number, because it can be changed into a prime (343770041) 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, 81567 + ... + 85677.

It is an arithmetic number, because the mean of its divisors is an integer number (13470912).

Almost surely, 2343770042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343770042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431069184).

343770042 is an abundant number, since it is smaller than the sum of its proper divisors (518368326).

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

343770042 is a wasteful number, since it uses less digits than its factorization.

343770042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315.

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 343770042 is about 18541.0367024069. The cubic root of 343770042 is about 700.5234465744.

The spelling of 343770042 in words is "three hundred forty-three million, seven hundred seventy thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 181 231 362 462 543 1086 1267 1991 2534 3801 3982 4111 5973 7602 8222 11946 12333 13937 24666 27874 28777 41811 45221 57554 83622 86331 90442 135663 172662 271326 316547 633094 744091 949641 1488182 1899282 2232273 4464546 5208637 8185001 10417274 15625911 16370002 24555003 31251822 49110006 57295007 114590014 171885021 343770042