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342800634 = 231137229613
BaseRepresentation
bin10100011011101…
…011100011111010
3212220001002001210
4110123223203322
51200224110014
654003223550
711331520521
oct2433534372
9786032053
10342800634
11166558210
1296977bb6
1356035317
14337554b8
1520165859
hex146eb8fa

342800634 has 64 divisors (see below), whose sum is σ = 772755840. Its totient is φ = 100465920.

The previous prime is 342800629. The next prime is 342800639. The reversal of 342800634 is 436008243.

It is an interprime number because it is at equal distance from previous prime (342800629) and next prime (342800639).

It is not an unprimeable number, because it can be changed into a prime (342800639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558912 + ... + 559524.

It is an arithmetic number, because the mean of its divisors is an integer number (12074310).

Almost surely, 2342800634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342800634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386377920).

342800634 is an abundant number, since it is smaller than the sum of its proper divisors (429955206).

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

342800634 is a wasteful number, since it uses less digits than its factorization.

342800634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895.

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 342800634 is about 18514.8760190286. The cubic root of 342800634 is about 699.8643505856.

Adding to 342800634 its reverse (436008243), we get a palindrome (778808877).

The spelling of 342800634 in words is "three hundred forty-two million, eight hundred thousand, six hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 229 407 458 613 687 814 1221 1226 1374 1839 2442 2519 3678 5038 6743 7557 8473 13486 15114 16946 20229 22681 25419 40458 45362 50838 68043 93203 136086 140377 186406 249491 279609 280754 421131 498982 559218 748473 842262 1496946 1544147 3088294 4632441 5193949 9264882 10387898 15581847 31163694 57133439 114266878 171400317 342800634