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343072746 = 2351136247
BaseRepresentation
bin10100011100101…
…101111111101010
3212220112220100000
4110130231333222
51200311311441
654013123430
711334033042
oct2434557752
9786486300
10343072746
111667236a5
1296a89576
13560cc133
14337c6722
15201bb2b6
hex1472dfea

343072746 has 48 divisors (see below), whose sum is σ = 777801024. Its totient is φ = 113327424.

The previous prime is 343072687. The next prime is 343072757. The reversal of 343072746 is 647270343.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 343072746.

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, 51795 + ... + 58041.

It is an arithmetic number, because the mean of its divisors is an integer number (16204188).

Almost surely, 2343072746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343072746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388900512).

343072746 is an abundant number, since it is smaller than the sum of its proper divisors (434728278).

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

343072746 is a wasteful number, since it uses less digits than its factorization.

343072746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 343072746 is about 18522.2230307272. The cubic root of 343072746 is about 700.0494835767.

It can be divided in two parts, 3430 and 72746, that added together give a square (76176 = 2762).

The spelling of 343072746 in words is "three hundred forty-three million, seventy-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 243 339 486 678 1017 2034 3051 6102 6247 9153 12494 18306 18741 27459 37482 54918 56223 112446 168669 337338 506007 705911 1012014 1411822 1518021 2117733 3036042 4235466 6353199 12706398 19059597 38119194 57178791 114357582 171536373 343072746