Search a number
-
+
342203121 = 321337137577
BaseRepresentation
bin10100011001011…
…001101011110001
3212211220201102200
4110121121223301
51200100444441
653542333413
711323451511
oct2431315361
9784821380
10342203121
1116618a2a7
129672a269
1355b86370
143363b841
15200987b6
hex14659af1

342203121 has 48 divisors (see below), whose sum is σ = 551647824. Its totient is φ = 203046912.

The previous prime is 342203117. The next prime is 342203153. The reversal of 342203121 is 121302243.

342203121 is a `hidden beast` number, since 342 + 203 + 121 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 58752225 + 283450896 = 7665^2 + 16836^2 .

It is not a de Polignac number, because 342203121 - 22 = 342203117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342203094 and 342203103.

It is not an unprimeable number, because it can be changed into a prime (342203101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592785 + ... + 593361.

It is an arithmetic number, because the mean of its divisors is an integer number (11492663).

Almost surely, 2342203121 is an apocalyptic number.

It is an amenable number.

342203121 is a deficient number, since it is larger than the sum of its proper divisors (209444703).

342203121 is a wasteful number, since it uses less digits than its factorization.

342203121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342203121 is about 18498.7329566108. The cubic root of 342203121 is about 699.4574850902.

Adding to 342203121 its reverse (121302243), we get a palindrome (463505364).

The spelling of 342203121 in words is "three hundred forty-two million, two hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 13 37 39 111 117 137 333 411 481 577 1233 1443 1731 1781 4329 5069 5193 5343 7501 15207 16029 21349 22503 45621 64047 65897 67509 79049 192141 197691 237147 277537 593073 711441 832611 1027637 2497833 2924813 3082911 8774439 9248733 26323317 38022569 114067707 342203121