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340052634 = 233107229257
BaseRepresentation
bin10100010001001…
…100101010011010
3212200212110112000
4110101030222122
51144023141014
653424301430
711266254045
oct2421145232
9780773460
10340052634
11164a50639
1295a71876
13555b259c
143323bc5c
151ecc1509
hex1444ca9a

340052634 has 64 divisors (see below), whose sum is σ = 769046400. Its totient is φ = 111366144.

The previous prime is 340052623. The next prime is 340052639. The reversal of 340052634 is 436250043.

340052634 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 340052598 and 340052607.

It is not an unprimeable number, because it can be changed into a prime (340052639) 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, 1323034 + ... + 1323290.

It is an arithmetic number, because the mean of its divisors is an integer number (12016350).

Almost surely, 2340052634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340052634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384523200).

340052634 is an abundant number, since it is smaller than the sum of its proper divisors (428993766).

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

340052634 is a wasteful number, since it uses less digits than its factorization.

340052634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 340052634 is about 18440.5160990684. The cubic root of 340052634 is about 697.9892185865.

The spelling of 340052634 in words is "three hundred forty million, fifty-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 107 214 229 257 321 458 514 642 687 771 963 1374 1542 1926 2061 2313 2889 4122 4626 5778 6183 6939 12366 13878 24503 27499 49006 54998 58853 73509 82497 117706 147018 164994 176559 220527 247491 353118 441054 494982 529677 661581 742473 1059354 1323162 1484946 1589031 3178062 6297271 12594542 18891813 37783626 56675439 113350878 170026317 340052634