[go: up one dir, main page]

Search a number
-
+
342122240 = 2852311621
BaseRepresentation
bin10100011001000…
…101111100000000
3212211202121111002
4110121011330000
51200040402430
653540511132
711322663635
oct2431057400
9784677432
10342122240
11166134559
12966ab4a8
1355b585c5
143361a18c
152007e845
hex14645f00

342122240 has 72 divisors (see below), whose sum is σ = 855193248. Its totient is φ = 130887680.

The previous prime is 342122203. The next prime is 342122243. The reversal of 342122240 is 42221243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342122243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23630 + ... + 35250.

It is an arithmetic number, because the mean of its divisors is an integer number (11877684).

Almost surely, 2342122240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427596624).

342122240 is an abundant number, since it is smaller than the sum of its proper divisors (513071008).

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

342122240 is a wasteful number, since it uses less digits than its factorization.

342122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11665 (or 11651 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 342122240 is about 18496.5467047230. The cubic root of 342122240 is about 699.4023742754.

Adding to 342122240 its reverse (42221243), we get a palindrome (384343483).

The spelling of 342122240 in words is "three hundred forty-two million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2944 3680 5888 7360 11621 14720 23242 29440 46484 58105 92968 116210 185936 232420 267283 371872 464840 534566 743744 929680 1069132 1336415 1487488 1859360 2138264 2672830 2974976 3718720 4276528 5345660 7437440 8553056 10691320 14874880 17106112 21382640 34212224 42765280 68424448 85530560 171061120 342122240