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342024354 = 232726910091
BaseRepresentation
bin10100011000101…
…110000010100010
3212211120122012200
4110120232002202
51200024234404
653534434030
711322105360
oct2430560242
9784518180
10342024354
11166077a61
1296662916
1355b22b99
14335d2630
1520060839
hex1462e0a2

342024354 has 48 divisors (see below), whose sum is σ = 850150080. Its totient is φ = 97348320.

The previous prime is 342024349. The next prime is 342024391. The reversal of 342024354 is 453420243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28849 + ... + 38939.

It is an arithmetic number, because the mean of its divisors is an integer number (17711460).

Almost surely, 2342024354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342024354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425075040).

342024354 is an abundant number, since it is smaller than the sum of its proper divisors (508125726).

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

342024354 is a wasteful number, since it uses less digits than its factorization.

342024354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 342024354 is about 18493.9004539335. The cubic root of 342024354 is about 699.3356649503.

Adding to 342024354 its reverse (453420243), we get a palindrome (795444597).

It can be divided in two parts, 342024 and 354, that added together give a triangular number (342378 = T827).

The spelling of 342024354 in words is "three hundred forty-two million, twenty-four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 269 538 807 1614 1883 2421 3766 4842 5649 10091 11298 16947 20182 30273 33894 60546 70637 90819 141274 181638 211911 423822 635733 1271466 2714479 5428958 8143437 16286874 19001353 24430311 38002706 48860622 57004059 114008118 171012177 342024354