Search a number
-
+
342241144 = 237173071171
BaseRepresentation
bin10100011001100…
…010111101111000
3212211222122120221
4110121202331320
51200103204034
653543225424
711324000410
oct2431427570
9784878527
10342241144
11166205923
1296748274
1355b9a76b
143364b640
15200a4bb4
hex14662f78

342241144 has 64 divisors (see below), whose sum is σ = 779708160. Its totient is φ = 137479680.

The previous prime is 342241139. The next prime is 342241177. The reversal of 342241144 is 441142243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291679 + ... + 292849.

It is an arithmetic number, because the mean of its divisors is an integer number (12182940).

Almost surely, 2342241144 is an apocalyptic number.

342241144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389854080).

342241144 is an abundant number, since it is smaller than the sum of its proper divisors (437467016).

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

342241144 is a wasteful number, since it uses less digits than its factorization.

342241144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1504 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 342241144 is about 18499.7606471003. The cubic root of 342241144 is about 699.4833902572.

Adding to 342241144 its reverse (441142243), we get a palindrome (783383387).

The spelling of 342241144 in words is "three hundred forty-two million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 307 476 614 952 1171 1228 2149 2342 2456 4298 4684 5219 8197 8596 9368 10438 16394 17192 19907 20876 32788 36533 39814 41752 65576 73066 79628 139349 146132 159256 278698 292264 359497 557396 718994 1114792 1437988 2516479 2875976 5032958 6111449 10065916 12222898 20131832 24445796 42780143 48891592 85560286 171120572 342241144