Search a number
-
+
342003354 = 237112173389
BaseRepresentation
bin10100011000101…
…000111010011010
3212211112120101220
4110120220322122
51200023101404
653534152510
711321660220
oct2430507232
9784476356
10342003354
11166063200
1296652736
1355b16464
14335c8b10
15200594d9
hex14628e9a

342003354 has 96 divisors (see below), whose sum is σ = 866436480. Its totient is φ = 88091520.

The previous prime is 342003323. The next prime is 342003367. The reversal of 342003354 is 453300243.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 878992 + ... + 879380.

It is an arithmetic number, because the mean of its divisors is an integer number (9025380).

Almost surely, 2342003354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342003354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433218240).

342003354 is an abundant number, since it is smaller than the sum of its proper divisors (524433126).

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

342003354 is a wasteful number, since it uses less digits than its factorization.

342003354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 342003354 is about 18493.3326904590. The cubic root of 342003354 is about 699.3213517887.

Adding to 342003354 its reverse (453300243), we get a palindrome (795303597).

The spelling of 342003354 in words is "three hundred forty-two million, three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 173 231 242 346 363 389 462 519 726 778 847 1038 1167 1211 1694 1903 2334 2422 2541 2723 3633 3806 4279 5082 5446 5709 7266 8169 8558 11418 12837 13321 16338 20933 25674 26642 29953 39963 41866 47069 59906 62799 67297 79926 89859 94138 125598 134594 141207 146531 179718 201891 282414 293062 329483 403782 439593 471079 658966 740267 879186 942158 988449 1413237 1480534 1976898 2220801 2826474 4441602 5181869 8142937 10363738 15545607 16285874 24428811 31091214 48857622 57000559 114001118 171001677 342003354